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Cost functions, a part of the definition of profit, are useful to gauge the performance of the business

Economics

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Cost functions, a part of the definition of profit, are useful to gauge the performance of the business. Suppose an economist estimated that the cost function of a single-product firm as:

C(Q)=40+4Q+4Q2+4Q3C(Q)=40+4Q+4Q2+4Q3

Based on this information, determine the followings and show all steps.

a. Define fixed cost and offer an example. Next, compute the fixed cost of producing 10 units of output using the cost function above,

b. Define variable cost and offer an example. Next compute the variable cost of producing 10 units of output using the cost function above,

c. Define total cost and then compute the total cost of producing 10 units of output using the cost function above,

d. Define and compute the average fixed cost of producing 10 units of output,

e. Define and compute the average variable cost of producing 10 units of output,

f. Define and compute the average total cost of producing 10 units of output,

g. Define marginal cost an offer an example. Next, compute the marginal cost when Q=10Q=10, using the cost function above.