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soldier1979 [14.2K]
4 years ago
12

Manganese Company makes frames. A customer wants to place a special order for 750 frames in green with the company logo painted

on the frame, to be priced at $60 each. Normally, Manganese would charge $100 per frame for this type of order. Manganese figures that wood and glass will cost $20 per frame, variable overhead (machining, electricity) is $5 per frame, direct labor is $10 per frame. The employee's wages will be paid whether or not the special order is accepted. If Manganese accepts the special order, by how much will operating income increase or decrease?
Business
1 answer:
kobusy [5.1K]4 years ago
7 0

Answer:

The answer is: Manganese's operating income will increase by $26,250

Explanation:

The total order is worth $45,000 (= 750 frames x $60 per frame).

Manganese will spend $20 in direct materials and $5 in variable overhead per frame, which adds up to $25 cost per frame.

Since Manganese will have to pay their workers salary with or without this special order, we can't consider additional labor costs associated with this special order.

So the total revenue is $45,000 and the total additional costs are $18,750.

So the operating income will increase by $26,250 which is the difference between total revenue and total costs (= $45,000 - $18,750)

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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

                       Coefficients        Standard Error      t Stat      P-value

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

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