Larsen’s Sharpening Shop, specializes in sharpening saws. Terry Larsen has determined that the cost of operating the shop is given by the function:
C(x) = x^2 – 40x + 430, where x is the number of saws sharpened daily.
a. Write C(x) = x^2 - 40x + 430 = a(x-h)^2 + k, identify a, h, and k.
b. What is the number of saws Terry must sharpen each day in order to minimize the operational cost?
c. What is the cost under these ideal condition.
take x^2-40x+430, and solve by completeing the square.
x^2-40x+400 + 30
(x-20)^2+30