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The Pampered Pig, purveyors of premium pork products, estimate that the total cost of producing ?q...

The Pampered Pig, purveyors of premium pork products, estimate that the total cost of producing ?q pounds of their Premier Pork Packed Potatoes is estimated by the function

C(q) = q^2 + 4q + 100

and

p(q) = 100 - 2q

is the price at which all units of their premier pork packed potatoes will be sold.

a. Find the revenue function.

b. Find the profit function.

c. Find the marginal revenue function.

d. Find the marginal cost function.

e. Find the quantity q at which profit is maximized.

f. Find the average cost A(q).

g. Find the level of production at which A(q) is minimized.

Math   Calculus   
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