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polet [3.4K]
3 years ago
6

Zachary Electronics currently produces the shipping containers it uses to deliver the electronics products it sells. The monthly

cost of producing 9,100 containers follows. Unit-level materials $ 6,400 Unit-level labor 6,400 Unit-level overhead 3,800 Product-level costs* 8,400 Allocated facility-level costs 28,000 *One-third of these costs can be avoided by purchasing the containers. Russo Container Company has offered to sell comparable containers to Zachary for $2.70 each. Required Calculate the total relevant cost. Should Zachary continue to make the containers
Business
1 answer:
V125BC [204]3 years ago
3 0

Answer:

Zachary Electronics

Zachary should continue to make the containers.  It is cheaper to make than to buy from Russo Container Company.

Explanation:

a) Data and Calculations:

Production units = 9,100 containers

Unit-level materials                $ 6,400

Unit-level labor                          6,400

Unit-level overhead                  3,800

Total unit-level costs            $16,600

Product-level costs*                 8,400

Allocated facility-level costs  28,000

Relevant or avoidable costs:

Unit-level materials                $ 6,400

Unit-level labor                          6,400

Unit-level overhead                  3,800

Total unit-level costs            $16,600

Product-level costs*                 2,800 ($8,400 * 1/3)

Total relevant costs =          $19,400 (to make)

Relevant cost to buy:

Offer from Russo Container company = $2.70 per container

Total cost from outside supplier = $24,500 ($2.70 * 9,100)

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Answer:

The level of output (Q) is associated with the minimum AVC is 8.98.

Explanation:

The following sorted data are given in the question:

Adjusted R Square 0.809

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Intercept               47.66                      3.29              14.49        0.0001

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 Q^2                       0.26                      0.03               7.79        0.0000

From the regression results above, the regression equation for AVC can be obtained as follows:

AVC = Coefficient of intercept + Coefficient of Q * Q + Coefficient of Q^2 * Q^2 …………. (1)

Substituting the relevant values into equation (1), we have:

AVC = 47.66 – 4.67Q + 0.26Q^2

Differentiate AVC with respect to Q, equating it to 0, and solve for Q, we have:

dAVC/dQ = -4.67 + (2 * 0.26)Q = 0

4.67 = 0.52Q

Q = 4.67 / 0.52

Q = 8.98

Therefore, the level of output (Q) is associated with the minimum AVC is 8.98.

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