A carpenter is building a rectangular room with a fixed perimeter of 324 ft ...

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A carpenter is building a rectangular room with a fixed perimeter of 324 ft. What dimensions would yield the maximum area? What is the maximum area?
 

Ben’s Bicycle Designs has determined that when x hundred bikes are built, the average cost per bike is given by C(x)=0.5x^2 - 1.6x+5.597, where C(x) is in hundreds of dollars. How many bikes should the shop build to minimize the average cost per bike?

    • 8 years ago
    0.5x2 - 1.6x + 5.597 has vertex at x = -b/2a = -(-1.6)/(2 * 0.5) = 1.6 ...
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