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LiRa [457]
2 years ago
6

In a portfolio problem, X1, X2, and X3 represent the number of shares purchased of stocks 1, 2, and 3, which have selling prices

of $15, $47.25, and $110, respectively. The investor has up to $50,000 to invest. The stockbroker suggests limiting the investments so that no more than $10,000 is invested in stock 2 or the total number of shares of stocks 2 and 3 does not exceed 350, whichever is more restrictive. How would this be formulated as a linear programming constraint
Business
1 answer:
vaieri [72.5K]2 years ago
7 0

Answer:

The correct solution is "x_1 \leq 0.35 (x_1 + x_2 + x_3)".

Explanation:

According to the question,

Let,

For stock 1,

The number of shares to be purchased will be "x_1".

For stock 2,

The number of shares to be purchased will be "x_2".

For stock 3,

The number of shares to be purchased will be "x_3".

then,

The cumulative number of shares throughout stock 1 would be well over or equivalent towards the approximate amount of all the shares or stocks for the set limit.

i.e., x_1+x_2+x_3

Thus the correct equation is "x_1 \leq 0.35(x_1+x_2+x_3)".

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A father wants to save for his eight?year?old son�s college expenses. The son will enter college 10 years from now. An annual am
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Answer:

Instructions are listed below

Explanation:

Giving the following information:

The son will enter college 10 years from now. An annual amount of $40,000 in constant dollars will be required to support the son's college expenses for four years.

The future general inflation rate is estimated to be 6% per year, and the market interest rate on the savings account will average 8% compounded annually

A) We need to find the present value for each 40,000-year expense.

Formula= FV/(1+i)^n

1: PV= 40,000/(1.06)^10= 22,335.80

2: PV= 40,000/(1.06)^11= 21,071.50

3: PV= 19,878.77

4: PV= 18,753.56

B) Total final value= 160,000

PV= 160,000/1.06^10= $89,343.16

C) We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (160,000*0.06)/[(1.06^10)-1]= $12,138

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3 years ago
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2 years ago
The following information is for S&P Enterprises for the month of September: Direct materials $82,000 Direct labor $51,000 V
prisoha [69]

Answer and Explanation:

The computation of the total period cost is shown below:

Variable selling expense $16,000

Fixed selling expense    $15,000

Variable administrative expense $6,000

Fixed administrative expense  $18,000

Total period Cost            $51,000

ANd, the total fixed cost is

Fixed Manufacturing overheads $30,000  

Fixed selling expenses         $15,000  

fixed admin expenses          $18,000

Total fixed cost                     $63,000

We simply added all the above items

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3 years ago
A manufacturer replenishes their packaging materials according to the economic order quantity model. They use 25,000 cases of pa
Sergio [31]

Answer:

$300,000 in total, $6000 per order

Explanation:

25,000/500 = 50

50*12=600

500*12=6000

50*6000=300000

7 0
3 years ago
Read 2 more answers
Young Company budgets sales of $112,900,000, fixed costs of $25,000,000, and variable costs of $66,611,000. What is the contribu
quester [9]

Answer:

a. The contribution margin ratio will be 41%

b. The income from operations will be $12,420,000.

Explanation:

a. The sales are given at $112,900,000.

The fixed costs are $25,000,000.

The variable costs are $66,611,000.

The contribution margin will be

=Sales-variable costs

=$(112,900,000-66,611,000)

=$46,289,000

The contribution margin ratio will be

=(Contribution margin/sales)*100

=($46,289,000/ $112,900,000)*100

=41%

b. Now, if the contribution margin ratio is 40%.

The sales are given at $34,800,000.

The fixed costs are $1,500,000.

Income from operations or operating profit will be

=(sales*contribution margin ratio)-fixed cost

=$(34,800,000*0.4)-$1,500,000

=$12,420,000

7 0
3 years ago
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