The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x-0.1x² + 0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27 -0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 =R 100 200 200 300 300 400 400 Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 =R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 X X
The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x-0.1x² + 0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27 -0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 =R 100 200 200 300 300 400 400 Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 =R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 X X
Chapter6: Proudction Costs
Section: Chapter Questions
Problem 8SQP
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