(a) Write the problem in standard form.
Min12A+7B+S1+S2+S3 s.t.
2A+1B+S1 = 13 1A+1B+S2 = 10 A,B,S1, S2, S3 ≥ 0
Here's how to set up a standard form:
minimize: 12A+7B+S_1+S_2+S_3
subject to: 2A+B+S_1 = 13$1A+1B+S_2 = 10$A,B,S_1,S_2,S_3\ge0$
(b) Solve the problem using the graphical solution procedure.
What is the value of the objective function?
at (A,B)=( Answer:The value of the objective function at (A,B) = (3, 7) is 69.
(c) What are the values of the slack and surplus variables?
S1 = 0,
S2 = 0,
S3 = 3
Explanation:
Here are the steps to plot the graphical solution of the given problem:
Step 1:
First, let's plot the lines 2A + B = 13 and A + B = 10.
We can plot these lines by finding their respective intercepts and using them as reference points.
Here are the steps to plot 2A + B = 13:
Intercept on Y-axis: Putting A = 0, B = 13/1 = 13.
Thus, point (0,13) lies on this line.
Intercept on X-axis:
Putting B = 0, A = 13/2 = 6.5.
Thus, point (6.5,0) lies on this line.
Here are the steps to plot A + B = 10:
Intercept on Y-axis:
Putting A = 0, B = 10/1 = 10.
Thus, point (0,10) lies on this line.Intercept on X-axis:
Putting B = 0, A = 10/1 = 10.
Thus, point (10,0) lies on this line.
Step 2:
Next, let's plot the feasible region that satisfies the constraints A ≥ 0 and B ≥ 0.
It's the region of the coordinate plane that lies in the first quadrant and is bounded by the X-axis and Y-axis.
This region is shaded in blue below:
Minimize 12A + 7B is equivalent to finding the point that minimizes the distance from the origin to the line 12A + 7B = k, where k is a constant.
The values of k that correspond to a line that passes through the feasible region are the minimum and maximum values of 12A + 7B on this region.
Therefore, we can find the minimum value of 12A + 7B on the feasible region by plugging in the coordinates of its vertices into the objective function.
Here are the vertices of the feasible region:
(0,0), (0,10), (6.5,3.5), (13/2,0) We can now plug these vertices into the objective function to find its minimum value.
Here are the results:
At (0,0), 12A + 7B = 0At (0,10), 12A + 7B = 70
At (6.5,3.5), 12A + 7B = 69At (13/2,0), 12A + 7B = 78
Since 69 is the minimum value, the solution is at (A,B) = (3,7).
Therefore, the value of the objective function at (A,B) = (3,7) is: 12A + 7B = 12(3) + 7(7) = 36 + 49 = 85.
Hence, the value of the objective function at (A,B) = (3,7) is 69.
The slack variables, S1 and S2, are both equal to 0 because the constraints 2A + B = 13 and A + B = 10 are satisfied by equality at (A,B) = (3,7).
The surplus variable S3 is equal to 3 because the constraint A ≥ 0 is satisfied by equality at (A,B) = (3,7).
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michelle works in retail and cant decide what products to include i the stores front window display what is the first step she should take to solve this problem
The available options are:
A. List the options.
B. Evaluate the decision/choice.
C. State the problem.
D. Determine the pros and cons.
Answer:
State the problem.
Explanation:
In a situation like this, it is expected that the first step to take to solve the problem is that Michelle should understand the reason, she wants to put the product on the window display. This includes knowing what she will benefit by placing the product on the window display and which product she wants to display. This process which is the first step in the problem-solving technique is known as STATE THE PROBLEM.
Hence, the right answer is State the Problem.
Lake Company reported beginning and ending Total Assets of $25,000 and $35,000 respectively. The Net Sales for the year were $15,000. What is the asset turnover ratio
Answer:
0.50
Explanation:
Calculation for What is the asset turnover ratio
Using this formula
Asset turnover ratio=Net sales /Average total assets
Let plug in the formula
Asset turnover ratio=$15,000 / (($25,000 + $35,000)/2)
Asset turnover ratio=$15,000/($60,000/2)
Asset turnover ratio=$15,000/$30,000
Asset turnover ratio= 0.50
Therefore the asset turnover ratio will be 0.50
What is a franchise business?
Using its aging of accounts receivable, Age Old, Inc. estimates that $90,000 of its $4,000,000 of accounts receivable will be uncollectible. Prior to making its adjusting entry, the unadjusted Allowance for Doubtful Accounts has a credit balance of $1,000. After the adjustment, Bad Debt Expense on the income statement will be ______ the Allowance for Doubtful Accounts on the balance sheet.
The total of the Bad Debt Expense is $90,000
In finances, a Bad Debt Expense refers to money a company could not collect and therefore became an expense as it negatively affects the company's financial situation. The most common causes of a bad debt expense are:
The customers could not pay due to economic hardships.The customers refused to pay.Moreover, the bad debt expense is calculated by determining how much money is uncollectable. Based on this, the total of bad debt expense in this company is $ 90,000 because this is the money considered as uncollectable.
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subordinated notes and bonds are examples of a. primary capital. b. secondary capital. c. depository sources of funds. d. repurchase agreements.
Subordinated notes and bonds are examples of secondary capital. Option B is correct.
Yes, subordinated notes and bonds are examples of secondary capital. Secondary capital refers to funds that a financial institution raises in addition to its primary capital, which includes deposits, reserves, and other core sources of funding.
Subordinated notes and bonds are forms of debt that have lower priority in case of bankruptcy or liquidation compared to other types of debt or primary capital. As a result, they provide a supplemental cushion of protection for depositors and other creditors.
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subordinated notes and bonds are examples of
a. primary capital.
b. secondary capital.
c. depository sources of funds.
d. repurchase agreements
In the pure exchange economy with endowments: e 1
1
,e 2
1
,e 3
1
,e 4
1
,…=1,2,1,2,…
e 1
2
,e 2
2
,e 3
2
,e 4
2
,…=2,1,2,1,…
calculate Pareto efficient allocations b. In the same economy assume we have a competitive equilibrium with transfers. Find the transfer payments necessary to implement a Pareto efficient allocation from the previous part.
In the given pure exchange economy, with endowments as specified, let's calculate the Pareto efficient allocations.
Pareto efficiency refers to an allocation of resources where it is not possible to make any individual better off without making someone else worse off. In other words, it represents an allocation where no one can be made better off without causing harm to someone else.
In this economy, with the given endowments, the Pareto efficient allocations occur when each individual has traded their initial endowments and reached an allocation where no further mutually beneficial trades can take place. Since the endowments alternate between individuals, each person can trade with the other person to improve their utility.
To find the transfer payments necessary to implement a Pareto efficient allocation in a competitive equilibrium with transfers, we need more information. The transfer payments would depend on the specific preferences and valuations of the individuals involved in the exchange. Without additional details on utility functions or preferences, it is not possible to determine the exact transfer payments required for a Pareto efficient allocation.
Overall, the Pareto efficient allocations in this economy would involve individuals trading their endowments to reach mutually beneficial outcomes, but the specific transfer payments needed for a competitive equilibrium with transfers would require additional information.
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a data warehouse is concerned with historic data and snapshots while oltp databases are typically concerned with current data only.True or False?
True, a data warehouse is concerned with historic data and snapshots, while OLTP (Online Transaction Processing) databases are typically concerned with current data only.
Data warehouse is a management system storing large amounts of data mainly relating to business analytics. Data warehouses store large amounts of historical and aggregated data from various sources, making it suitable for analysis and reporting. OLTP databases, on the other hand, focus on real-time transaction processing and maintaining up-to-date information for operational activities.
Hence, the given statement is true to its facts.
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Pete and Mason are shopping for Cheese-its for a class activity. They needed several boxes. Which prices give the better deal.
A. $1.25 per box
B. $5.50 for 3 boxes
c. Buy 1 at regular price ($3.50) and get one at 50% off
D. $2.75 per box and a coupon for $1.00 off
Answer:
I believe A. $1.25 per box would be the best deal.
Explanation:
This is because A is $1.25 per box,
B. is about $1.83 per box (5.50/3 divided by 3/3 = about 1.83/1)
C. Would be 1 box = $3.50, and the next $1.75 (which is still not less then just $1.25 per box)
and D. would be $2.75-$1 off = $1.75
Out of all of them, A is cheapest/gives the best deal.
Not sure if all calculations are correct, but I hope this helps! :)
PLEASE HELPP!!!
upload your table, and explain if you believe all businesses should have the same promotional strategies. Why or why not?
Answer:
No they should not all have the same promotional strategies. Some businesses have different goals, and different strategies can serve different goals. Different goals could be spreading awareness/widening shopper demographics, creating more demand for your products, etc. There are different promotional strategies for different purposes.
Explanation:
Answer:
Businesses should use different types of promotional strategies. Most businesses have different goals, and each strategy serves specific goals. There are different promotional strategies for different purposes. A company should research the best strategy for its target market and end goal.
Explanation:
I take an highschool business class!
Please don't copy word for word, this is just for inspo!
The annual demand for number of items at a business is 10,400. The ordering/setup-costsat the business is 23.8 and the annualized hold ng cost per items is 1.7. Calculate the excess costa store operator would pay ifshe were to order in amount of 1000 every time instead-of at the EOQlevel (you will -have to calculate the EQQ leve and then the inventory costs-for both scenarios). Beord your answer by subtracting the inventorycost for ordering atthe EOQ amount from the inventory cost for ordering 1000 items every time. Please:round your answer to 2-decimals
Thus, the store operator would pay an excess cost of $172.34 when ordering 1,000 items every time instead of at the EOQ level.
To calculate the excess cost, we first need to determine the Economic Order Quantity (EOQ) and then compare the inventory costs at EOQ and ordering 1,000 items each time.
1. Calculate EOQ:
EOQ = √(2DS / H)
where D = annual demand, S = ordering cost, and H = holding cost per item per year
EOQ = √(2 × 10,400 × 23.8 / 1.7) ≈ 617.99 ≈ 618 items
2. Inventory costs at EOQ level:
Total ordering cost = (D / EOQ) × S
Total ordering cost = (10,400 / 618) × 23.8 ≈ $400.65
Total holding cost = (EOQ / 2) × H
Total holding cost = (618 / 2) × 1.7 ≈ $524.53
Total inventory cost at EOQ = Ordering cost + Holding cost
Total inventory cost at EOQ = $400.65 + $524.53 ≈ $925.18
3. Inventory costs when ordering 1,000 items each time:
Number of orders per year = D / Order quantity
Number of orders per year = 10,400 / 1,000 ≈ 10.4 orders/year
Total ordering cost = Number of orders × S
Total ordering cost = 10.4 × 23.8 ≈ $247.52
Average inventory = Order quantity / 2
Average inventory = 1,000 / 2 = 500 items
Total holding cost = Average inventory × H
Total holding cost = 500 × 1.7 ≈ $850
Total inventory cost when ordering 1,000 items = Ordering cost + Holding cost
Total inventory cost when ordering 1,000 items = $247.52 + $850 ≈ $1,097.52
4. Calculate the excess cost:
Excess cost = Inventory cost for ordering 1,000 items - Inventory cost at EOQ
Excess cost = $1,097.52 - $925.18 ≈ $172.34
The store operator would pay an excess cost of $172.34 when ordering 1,000 items every time instead of at the EOQ level.
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you are evaluating a company's stock. the stock just paid a dividend of $1.75. dividends are expected to grow at a constant rate of 5 percent for a long time into the future. the required rate of return (rs) on the stock is 14 percent. what is the fair present value? (hint: the equation for the price of a constant dividend growth stock is in the chapter 8 section of the equations sheet.)
The fair present value of the stock would be $25.00. This is calculated using the constant dividend growth model, which states that the price of a stock is equal to the dividend divided by the difference between the required rate of return (rs) and the growth rate (g).
What do you mean by dividend growth model?
The Dividend Growth Model is a valuation approach based on the idea that assumes that dividends will grow at a constant rate over time and that the stock price is equal to the sum of all these expected future dividend payments, discounted back to the present value. The Dividend Growth Model is commonly used by investors to estimate the fair value of a stock, since it considers the company’s ability to generate cash flows from dividends and its ability to grow those dividends over time.
In this case, the dividend is $1.75, the required rate of return is 14%, and the growth rate is 5%. Thus, the price of the stock is $1.75 / (14% - 5%) = $25.00.
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Please help worth bonus points!
Answer:
the 4th and 5th one is for france
Explanation:
this is done in france France, it is called french silver service, it's a method of food service at the table, it's known as à l'anglaise (English service)
4=the staff utilizes platters to serve cooked food
5=the last one
1= america, the first one.
2=Russia
3=russia
if I got anything mixed up, pls inform me.
Sometimes people are not aware that their personal information is being gathered. This is
o the purpose of data analysis
O a key ethical issue
o the main benefit of using data mining
O one of the data-mining techniques
Answer:
O a key ethical issue
Explanation:
In the process of gathering data for analysis, it is very important that certain ethical standards are adhered to. One of these very important ethical requirements is making sure that there is consent from the individuals whose data is to be used. Individuals have a right to their privacy. Using data or information about them for whatever purpose without them approving of it is a breach of privacy and might incur lawsuits if they get to know about that.
To prevent such issues from arising, the intent of the analyst should be clearly disclosed and the approval of the informant obtained.
Most businesses use __________ networks.
wired
wireless
Answer: wired
Explanation:
wired is the cheapest
What Is NOT one of the three primary resources that farnilies have to reach financlal goals?
A.Education
B.Energy
C.Time
D.Money
Answer:
I think it would be education
Explanation:
Answer: A. Education
Explanation:
the average number of shares outstanding was 7,900 for year 3 and 7,000 for year 2. required compute the following ratios for rundle for year 3 and year 2.
The required ratios for Rundle for Year 3 and Year 2 are:Price/Earnings ratioYear 3Formula = Market price per share/ Earnings per share= $45 / $2.20 = 20.45 times
The ratio implies that investors are willing to pay $20.45 for every dollar earned by the companyYear 2Formula = Market price per share/ Earnings per share= $39 / $1.10 = 35.45 timesThe ratio implies that investors are willing to pay $35.45 for every dollar earned by the company.Price/Book value ratioYear 3Formula = Market price per share / Book value per share= $45 / $12.50 = 3.6 times
The ratio implies that investors are willing to pay $3.6 for every dollar of assets owned by the company Year 2 Formula = Market price per share / Book value per share= $39 / $11 = 3.54 times. The ratio implies that investors are willing to pay $3.54 for every dollar of assets owned by the company.
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Requiring managers to prepare the budgets from scratch or zero-base may help them to overcome the problem of:
Answer: Excessive cost
Explanation:
Zero-based budgeting is the sort of budgeting where when income is subtracted from expenses it gives zero. This sort of budgeting puts a measure of the expenses, it ensures the expenses matches the income. The purpose of the budget plan is to justify expenses and optimize cost, thereby look out for cost effective ways to plan and avoid inflated budgets. It primarily guides against excessive costs on projects.
What is a key aspect of the global economy that works against you when trying to save and invest?
Answer: Instability in currencies and crude oil
Explanation:
Investing and saving takes a toll on individuals when there in an unstable economy, they may have some property or money and in some moment it losses value. The following are global key aspect of the economy that can affect investment and saving;
-Instability of currencies; for someone whose local currency is far lower than dollars(the general trading currency), they would find it hard to invest most especially if the country imports most of what they use. They could get an item for a particular price in January and in the next week's, their local currency falls, they may not be able to afford that same item they got.
- Crude oil price; due to a large percentage of the world uses crude oil, it's rise and fall in prices affects a lot of people and their investment
why did God call abraham
Answer: god chose Abraham and said i will make you a great nation and i will bless you.
Explanation: god commanded Abram to move to another country . This is why god planned to make of Abram a new nation from which the prophets of god and the savior of the world would arise.
Decreasing annual increase rates immediately halts population growth. True or false
Decreasing annual increase rates immediately halts population growth.The statement is False.
Decreasing annual increase rates do not immediately halt population growth. Decreasing the annual increase rates means that the rate of population growth is slowing down, but it does not stop the population from growing altogether. Decreasing annual increase rates immediately halts population growth. It simply means that the population is growing at a slower pace compared to previous years. In order to achieve zero population growth, the annual increase rates would need to reach zero, indicating that the population is neither increasing nor decreasing.
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An instrument used to enlarge or reduce a map is known as
Answer:
pantograph
Explanation:
you can use a pantograph to do this.
Solve the equation 60%of 45
Explanation:
60%of 45
0.6×45
=27
....................
Answer:
27
Explanation:
Andrei gauged the level of exposure to his marketing campaign using the percentage of the target population exposed at least once to his advertisement, representing its.
Andrei gauged level of exposure to his advertising campaign using percentage of target population exposed at least once to advertisement, representing its reach.
What is an advertising campaign?A marketing communication strategy called an integrated campaign is made up of a number of advertisement messages that are all based on the same idea and theme (IMC). A group of people can organize their concepts, ideas, and beliefs onto an IMC, which serves as a platform for a sizable media base. The campaign theme serves as the primary focus of the advertising campaign and serves as the main message that will be communicated through promotional activities. It establishes the tone for the various types of marketing materials that will be used, including individual advertisements and other forms of marketing communication. The majority of campaign themes are temporary due to factors like being ineffective or being affected by market conditions, competition, and marketing mix.
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You gain health benefits from exercising for a minimum of _______.
a.
10 minutes three times a week
b.
10 minutes two times a week
c.
20 minutes three times a week
d.
20 minutes two times a week
Answer:
C
Explanation:
so you at least work out for 1 hour a week because 20 min 3 times a week is 60 min which is an hour
Answer:
It's C
Explanation:
I took the test :)
CoffeeCarts has a cost of equity of 14.3%, has an effective cost of debt of 3.8%, and is financed 69% with equity and 31% with debt. What is this firm's WACC? RICESTO CoffeeCarts's WACC is______%. (Round to one decimal place.)
WACC = (0.69 * 14.3%) + (0.31 * 3.8%) * (1 - 0) = 10.86%The WACC for coffee carts is thus 10.86%.Therefore, 10.9 is the appropriate choice.
The WACC (Weighted Average Cost of Capital) of Coffee Carts can be calculated by using the following formula; WACC = (E / V) * Re + (D / V) * Rd * (1 - Tc) Where; E is the market value of the firm's equity D is the market value of the firm's debt V is the total value of the firm (equity plus debt)Re is the cost of equity Rd is the cost of debt Tc is the corporate tax rate To calculate the WACC, we need to find out each term of the above formula, Given, Re (Cost of Equity) = 14.3%Rd (Cost of Debt) = 3.8%D (Debt) = 31%E (Equity) = 69%The corporate tax rate is not provided, so it is assumed that the company does not pay taxes, and thus, Tc = 0.Putting all the values in the formula, we get; WACC = (0.69 * 14.3%) + (0.31 * 3.8%) * (1 - 0) = 10.86%Therefore, the WACC of Coffee Carts is 10.86%.Hence, the correct option is;10.9
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Nuns: For our last order of business, some nun fashion! On a traditional full Benedictine habit, the headdress is made up of several parts: the coif; the veil; and this (modeled here by Sister Mary Clarence), a cloth worn around the cheeks, neck, and chin that was also popular among medieval Christian women as a means of modesty?
The cloth worn around the cheeks, neck, and chin that was also popular among medieval Christian women as a means of modesty is called a wimple.
It was traditionally worn as part of the headdress of nuns and other religious women. The wimple covered the neck and chin and sometimes the forehead, leaving only the face visible. It was worn to symbolize the woman's religious devotion and to signify her renunciation of worldly vanity and fashion.
The wimple is an important part of the traditional Benedictine habit, which is worn by nuns of the Benedictine order. The Benedictine habit is a full-length black or dark brown robe worn with a scapular and a white wimple. The habit is a symbol of the nun's commitment to a life of prayer, simplicity, and service to God and the community.
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QUESTION 3
A company has the following budgeted data for its first year of operation:
£ Per unit
Direct materials 1.30
Direct labour 1.50
Variable overhead 0.20
Fixed overhead 1.00
(£150,000 / 150,000 units of normal volume)
Total standard factory cost 4.00
Selling price 5.00
Other expenses:
Fixed selling and administration overhead £65,000
Sales commission 5% of sales value
Production and sales in units
Opening stock Nil
Production 170,000
Sales 140,000
REQUIRED
Prepare a budgeted profit statement for the first year of operation using:
i. absorption costing principles (10 marks)
ii. marginal costing principles (10 marks)
(Total 20 marks)
An investor purchased 50 shares of stock in a company for $600. One year later, the investor sold all 50 shares for $13 per share. What is the investor's rate of return?
Answer: $50
Explanation: he invested 600 and sold them all for $13 per share and
13 X 5 = 650 so his return on investment is $50.
How important is money
Answer:
very important
Explanation:
money is a global income source for everyone. we all have different types but it is all still money. now say one country got rid of money and had people pay for stuff using other things. if china did that lots of different countries wouldn't be able to get stuff from there unless they had so much of that product they could just give it up.
The Functions made this!!
unit 4 individual activity 2 I need help
The function of management is to plan, organize, lead, and control the activities of an organization in order to achieve its goals and objectives.
Management is responsible for developing and implementing strategies to achieve success, as well as for motivating and coordinating the efforts of employees. Some specific functions of management include: Planning: This involves developing a vision for the organization and creating a strategy to achieve it. This includes setting goals and objectives, analyzing market trends and customer needs, and identifying resources and constraints that may affect the organization's ability to achieve its goals.
Controlling: This involves monitoring and evaluating the organization's performance against its goals and objectives. This includes identifying areas for improvement, taking corrective action as needed, and making adjustments to the organization's strategy as circumstances change. Overall, the function of management is to ensure that the organization is able to achieve its goals and objectives in a effective and efficient manner.
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Correct Question:
What is function of management in unit 4?