SOLUTION: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.2Xsquared -1.3x+10.35, where C(x) is in
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Question 1144552: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.2Xsquared -1.3x+10.35, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? Answer by ikleyn(52781) (Show Source):
C(x) = 0.2*x^2 - 1.3x + 10.35,
and they want you find x which minimizes this function.
For any quadratic function f(x) = ax^2 + bx + c with the positive coefficient "a", it gets the minimum at x = .
In your case a= 0.2, b= -1.3, so = = 6.5.
Since in this problem only integer values of x are meaningful, the problem has two solutions x= 6 or x= 7.
Both answers are equally good.
