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hram777 [196]
2 years ago
6

Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The l

abor-hour requirements, by department, are as follows: Department Product 1 Product 2 Product 3 A 2.00 1.50 3.00 B 2.50 2.00 1.00 C 0.25 0.25 0.25 During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $30 for product 1, $25 for product 2, and $28 for product 3. Formulate a linear programming model for maximizing total profit contribution. If the constant is "1" it must be entered in the box. If required, round your answers to two decimal places. Let Pi = units of product i produced
Business
1 answer:
Serjik [45]2 years ago
8 0

Answer:

Objective function:

Maximize Z: 30P1 + 25P2 + 28P3

Subject to:   2.00P1 + 1.50P2 + 3.00P3 ≤ 450 (Department A constraint)

                    2.50P1  + 2.00P2 + P3       ≤ 350 (Department B constraint)

                    0.25P1  + 0.25P2 + 0.25P3 ≤ 50  (Department C constraint)

                           P1, P2, P3                       ≥  0 (Non-negativity)

Explanation:

The objective function is formulated from the contribution margin of the three products. For instance, the contribution of Product 1 is $30, the contribution of Product 2 is $25 and the contribution of Product 3 is $28. Thus, the objective function will be 30P1 + 25P2 + 28P3.

The constraints were obtained from the departmental labour hours requirements for each product. For instance, Product 1 requires 2 hours in department A, Product 2 requires 1.50 hours in department A and Product 3 requires 3 hours in Department A. Thus, the constraint will be 2.00P1 + 1.50P2 + 3.00P3.

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nlexa [21]

Answer:

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Explanation:

The money that you have coming in should be the income that you earn or receive on a regular basis.  If someone gives you an unexpected lump sum, it is not a regular amount of money coming in. You might also deduct from income, the amount of tax you will still have to pay on your income, spread out as an average per month.  Ask an accountant to help if you need to.

And the longer the period you take into consideration, it  will help with determining a better approximation of your average income.  If possible add up your regular income (incoming money from work and other regular and routine amounts you receive and can rely upon) each month for a year, and determine the arithmetic mean (average per month).  A spreadsheet program will help and you can also find budget templates online to download and use or websites that do this online for you.

Next you do the same with all your regular monthly expenses for the same periods of time, let's assume you will do this for a full year, recording all expenses monthly as you do for your income.   It is easier to accurately list all your income than it is to list all your expenses.  So think hard and discover and add in all the expense categories you have, including discretionary or miscellaneous expenses like cash that you spend monthly for every little thing you spend money on.  Now I don't know your age but the older you are the more financial expenses you will probably have, so catch all the expense categories and keep records or receipts or write down expenses as they occur and keep your receipts and notes in one place so you know where they are.

Spread out your AVERAGE monthly income over the periods such as 12 months on your spreadsheet. and underneath list and deduct your average monthly expenses.  Subtract your average monthly expenses from your average monthly income to see if you have a surplus. If you do, wonderful. If you don't, this is not good as you are now cash flow negative and building  debt.  Of course, doing this work can be eye opening as you will now have a way to look at each expense category and decide upon what expenses you might spend less upon.

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Caveats

Investing means taking risks. There can be no profit when you invest if there is no risk.  You must learn about the risks, and your risk tolerances, and you must not gamble in the markets.

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By the way, the importance of a budget throughout your life cannot be underestimated. The key to personal financial success will always be spending less than you earn, and putting part of your excess positive cash flow to work for you.

Hope this helps.  The answer is D.  However, the D choice is not as clear as it should be.  You must add all sources of regular income for a period of time and take an average per period you can rely upon. AND then, you must do the same for all expenses.   List all your expenses for each period of time you are working with, the more the better (such as for a year) Then you subtract the average period expenses from the average income to find if you have a surplus (positive cash flow) or a negative cash flow (not so good, although you can do something about that) Hope you do.

5 0
2 years ago
On January 2, Dixie, Inc., pays a salvage company $1,000 to haul away a machine costing $28,000 with accumulated depreciation of
Anuta_ua [19.1K]

Answer:

Explanation:

The journal entry is shown below:

Accumulated depreciation - machine A/c Dr $28,000

Loss on disposal of machine A/c $1,000

         To Cash $1,000

         To Machinery A/c $28,000

(Being the disposal of machinery is recorded)

For disposal of machinery, we debited the accumulated depreciation, loss on disposal of machine and credited the cash account and machinery account

6 0
2 years ago
The following costs are budgeted for Harlow Corporation for next year: The costs above are based on a level of activity of 20,00
ololo11 [35]

Answer:

$48.50

Explanation:

Harlow Corporation

First step is to calculate for Variable cost per unit:

Variable cost per unit =

$270,000 ÷ 20,000 units

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Second step is to calculate for the cost function

Cost function :

Y = $630,000 + $13.50X

Y= $630,000 + $13.50(18,000)

Y=$630,000+$243,000

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Therefore:

Total cost / number of units = total cost per unit$

Total cost =$873,000

Number of units= 18,000

$873,000 ÷ 18,000

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Therefore the total cost per unit is $48.50

5 0
2 years ago
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Verizon [17]

Answer:

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Explanation:

Josh, when planning a purchase of new technology, will have to take into account on the <u>one hand</u>: the characteristics of the new technology that he wants to add.

<u>On the other</u>: The expenses that will be the exploitation of this new technology.

<u>And also</u>: The necessary expenses to learn to operate with the new technology.

<em><u>The answer is</u></em>: <u>Added features, Operating expenses, Training requirements</u>.

3 0
2 years ago
If IBM manufactures a computer in the United States and sells it to a French business firm in Paris, it will cause an increase i
photoshop1234 [79]

Answer:

B

Explanation:

When goods produced in a country are sold to other countries, it is known as export.

When a country purchases a foreign produced good, it is known as import

the difference between export and import is known as net export.

Net export increases when export increases and decreases when import decreases.

As a result of the sale of the computer, US net export would increase and France's net export would decrease.

7 0
2 years ago
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