Question 1054802: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)equals=0.20.2xsquared2minus−1.11.1xplus+9.7399.739, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
Its C(x)=0.2x(squared)-1.1X+9.739 . . .
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! The graph of C(x) is a parabola that curves upward, we want the x coordinate of the parabola's vertex
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C(x) = 0.2x^2 -1.1x +9.739
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For C(x), a = 0.2, b = -1.1
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the x coordinate of the vertex is -b / 2a = -(-1.1) / 2(0.2) = 2.75
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we substitute 2.75 for x in the function C(x) to find minimum cost
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C(2.75) = 0.2(2.75)^2 -1.1(2.75) + 9.739 = 8.2265
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2.75 * 100 = 275
Aki Bicycle Designs can build 275 bicycles at minimum cost
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