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Homework answers / question archive / Let R(x)=−x2+47x+52R(x)=−x2+47x+52 denote the revenue in thousands of dollars generated from the production of x units

Let

R(x)=−x2+47x+52R(x)=−x2+47x+52

denote the revenue in thousands of dollars generated from the production of x units.

Let

C(x)=8x2+18x+24C(x)=8x2+18x+24

denote the cost in thousands of dollars by producing x units. Then,

a) Find the cost and the marginal cost at a production level x=6.

b) Use the marginal cost at x=6 to estimate the cost of producing 6.50 units.

c) What is the break-even point?

d) Compute and compare the marginal revenue and marginal cost at the break-even point.

e) Should the company increase production beyond the break-even point?

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