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spin [16.1K]
3 years ago
5

Crigui Music produces 60000 CDs on which to record music. The CDs have the following costs: Direct Materials $13000 Direct Labor

15000 Variable Overhead 3000 Fixed Overhead 7000 Crigui could avoid $4000 in fixed overhead costs if it acquires the CDs externally. If cost minimization is the major consideration and the company would prefer to buy the 60000 units externally, what is the maximum amount that Crigui should pay to purchase for the units?
Business
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

$35,000 is the maximum amount that Crigui should pay

Explanation:

Total cost if manufactured internally;

Direct materials $13,000

Direct labor 15,000

Variable overhead 3,000

Fixed overhead 7,000

————

Total cost $38,000

Therefore, $38,000 - $3,000 (unavoidable cost) = $35,000

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If a player chooses a mixed strategy in a Nash equilibrium, this implies that the payoff from using that mixed strategy is the s
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approximates the dollar cost of producing x units of a product. The manu- facturer believes it cannot make a profit when the mar
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The question is incomplete. The complete question is :

A manufacturer believes that the cost function : $C(x) =\frac{5}{2}x^2+120 x+560$  approximates the dollar cost of producing x units of a product. The manu- facturer believes it cannot make a profit when the marginal cost goes beyond $210. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production?

Solution :

Given the cost function is :

$C(x) =\frac{5}{2}x^2+120 x+560$  

Now, Marginal cost = $\frac{d}{dx}C(x)$

So, if the marginal cost = $ 210, then the manufacturer also makes a profit and if it goes beyond $ 210 than the manufacturer cannot make a profit.

Therefore, we have to equate : $\frac{d}{dx}C(x)= \$ 210$

$\frac{d}{dx}C(x)= \frac{5}{2}(2x)+120 = 210$

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$5x=210-120$

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So when x = 45, then C(x) = $ 8042.5

Therefore, the manufacturer $\text{can make up}$ to 45 units and $\text{still makes a profit.}$ This leads to a total cost of $ 8042.5

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