Minimizing average total cost


Problem:

Redstone Clayworks, Inc. is located in Sedona, Arizona and manufactures clay fire pits for patios. They are one of about two dozen firms around the world that manufacture and sell clay fire pits for retailers such as Home Depot Lowe's Front Gate, and other upscale home product chains. There is virtually no product differentiation; a clay fire pits is a clay fire pit.

The spreadsheet below gives some of Redstone's production cost data. Enter this data in your own Excel spreadsheet. Add columns 5, 6, 7, and 8 to show respectively average fixed cost (AFC), average variable cost (AVC), average total cost (ATC), and short-run marginal cost (SMC).

Q       TC      TFC     TVC

0      5000    5000      0
100  10000   5000   5000
200  19000   5000  14000
300  27000   5000  22000
400  38000   5000  33000
500  50000   5000  45000
600  66000   5000  61000
700  84000   5000  79000
800 104000   5000  99000
900 126000   5000  121000
1000 150000  5000  145000

The world market demand and supply curves for clay fire pots intersect at $190 per unit. Add columns 9, and 10 to show, respectively total revenue (TR) and marginal revue (MR). Add column 11 to show profit (i.e., TR-TC). Add column 12 to show profit per unit (i.e., average profit). Add column 13 to show profit margin (i.e, price minus average total cost).

1. If Redstone wanted to minimize average total cost, it would produce how many units?

2. If Redstone wishes to maximize profit MARGIN, it should produce how many units.

3. What level of output should the manager of Redstone choose to produce? Explain briefly.

4. Now triple the fixed costs to 15,000 in your spreadsheet. How does this change your answer to question 4. Explain briefly.

5. Suppose that Nancy Pelosi declares that clay fire pits are causing global warming, and demand for fire pits shrinks substantially in the U.S. (especially in California). Fire pit prices fall worldwide to $65. Now, the manager of Redstone should produce how many units? Explain your answer.

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Microeconomics: Minimizing average total cost
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