Question

The Central Publishing Company is about to publish its first reference book in managerial economics. It is now in the process of estimating costs. It expects to produce 10,000 copies during its first year. The following costs have been estimated to correspond to the expected copies.

a. Paper Stock $8.000
b. Typesetting $15,000
c. Printing $50,000
d. Art (including graphs) $9.000
e. Editing $20,000
f. Reviews $3,000
g. Promotion and advertising $12,000
h. Binding $22.000
i. Shipping $10,000
In addition to the preceding costs, it expects to pay the authors a 13 percent royalty and its salespeople a 3 percent commission. These percentages will be based on the publisher’s price of $48 per book. Some of the preceding costs are fixed and others are variable. The average variable costs are expected to be constant. Although 10,000 copies is the projected volume, the book could sell anywhere between 0 and 20,000 copies.
Using the preceding data,
1. Write equations for total cost, average total cost, average variable cost, and marginal cost.
2. Draw the cost curves for quantities from 0 to 20,000 (in intervals of 2,000).

Answer 1

Total Cost is the cost that is fixed and does not vary directly with the level of output. According to this question typesetting, printing, editing, reviews, promotion, and advertising are fixed costs. The total fixed cost here is $100000.

Total Variable Cost is the costs that vary directly with the level of output. Variable costs are incurred on variable factors. The Total Variable Cost here is $49000.

Marginal cost is addition to the total cost when one more unit of output is produced.

EQUATIONS

TC = 100000 + 4.9Q

ATC = 100000 + 4.9Q / Q

AVQ = 4.9Q / Q

MC = Change in Total Cost / Change in Quantity = 4.9

GRAPH

Is attached as picture.

Conclusion: The AVC and MC both are equal to 4.9.