Problema Solution
An aircraft factory manufactures airplane engines. The unit cost C
(the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made, then the unit cost is given by the function C(x)=x^2-560x+94,717. How many engines must be made to minimize the unit cost?
Answer provided by our tutors
We need to find for what value of x the give parabolic function has minimum:
C(x)=x^2-560x+94,717
x = - b/2a, where a = 1 and b = -560
a = - (-560)/(2*1)
a = 280 engines
280 engines must be made to minimize the unit cost.