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혹시 Business Math 잘하시는분 있으시면 도와주세요ㅠ
A company manufactures and sells x picture frames per month. The monthly cost and price-demand equations are given,respectively,by
C(x)=72,000+60x and y=200- x/30 (x는 0보다 크거나 같고 6000보다 작거나 같다)
a.Find the maximum revenue.
b.Find the maximum profit
c.Find the price the company should charge for each picture frame to realize maximum profit.
d. Find the minimum cost.
A manufacturer estimates that when thousand units of a particular commodity are produced each month, the total cost will be C(x)=0.4x^2+3x+40 thousand dollars and all x units can be sold at a price of y=22.2-1.2x dollars per unit.
a. Determine the level of production that results in maximum profit.
b.What is the maximum profit?
c.At what level of production is the average cost per unit minimized?
d. At what level of production is the average cost equal to the marginal cost?
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