Assume that the market is perfectly competitive. If the cost function for John's Shoe Repair is �(�) = 100 + 10� − �) + 3 4 �4, what is the firm's marginal cost function? What is its profit-maximizing condition if the market price is p? What is its short-run supply curve?

Explanation:

C(q) = 100+10q-q^2+(1/3)q^3

To find the firm marginal cost function:

Take the derivative with respect to q

MC = 10 - 2q + q^2

Assuming that the market price is p , then the profit maximising condition is:

MR = MC

p = 10 - 2q + q^2

The short-run supply curve is the marginal cost curve that lies above the average variable cost.

The average variable cost is:

AVC =VC/Q

AVC = (10q-q^2+(1/3)q^3)/Q

AVC = 10 - q + (1/3)*q^2

So, the short-run supply curve is:

SRS = 10 - 2q + q^2 if p > 10 - q + (1/3)*q^2

whole quiz

1. the sum of all activities involved in getting high-quality products into the marketplace

2.operations

3. the principle of looking at the supply chain as a whole in order to improve the overall flow through the system.

4. produced; performed

5. activities producing tangible products, such as radios, newspapers, buses, and textbooks.

6. activities producing intangible and tangible products, such as entertainment, transportation, and education.

7.   customer focus

8. analyzing a competitor's products to identify desirable improvements

9. the systematic direction and control of the processes that transform resources into finished projects that create value for and provide benefits to consumers.

10. operation management.

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