Problem

Cost A piano manufacturer has a daily fixed cost of $1,200 and a marginal...

Cost A piano manufacturer has a daily fixed cost of $1,200 and a marginal cost of $1,500 per piano. Find the cost C(x) of manufacturing x pianos in one day. Use your function to answer the following questions:

a. On a given day, what is the cost of manufacturing 3 pianos?

b. What is the cost of manufacturing the 3rd piano that day?

c. What is the cost of manufacturing the 11th piano that day?

d. What is the variable cost? What is the fixed cost? What is the marginal cost?

e. Graph C as a function of x. HINT [See Example 1.]

Reference:

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