SOLUTION: It is determined that when x hundred bicycles are built, the average cost per bicycle is given by
C(x)=0.5x^2-0.9x+6.356, where C(x) is in hundreds of dollars. How many bicycles s
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-> SOLUTION: It is determined that when x hundred bicycles are built, the average cost per bicycle is given by
C(x)=0.5x^2-0.9x+6.356, where C(x) is in hundreds of dollars. How many bicycles s
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Question 436809: It is determined that when x hundred bicycles are built, the average cost per bicycle is given by
C(x)=0.5x^2-0.9x+6.356, where C(x) is in hundreds of dollars. How many bicycles should be built to minimize the average cost? Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Set to zero: x - 0.9 = 0 ==> x = 0.9. ==> An extremum exists at x = 0.9. ==> the extremum at x = 0.9 is a(n) (absolute) minimum, by the 2nd derivative test.
Hence to minimize average cost, build 0.9*100 = 90 bicycles.
