Problema Solution
A battery manufacturing plant spends C dollars per hour to produce "D" size batteries. An efficiency consultant has determined that C is related to the number of batteries produced per hour, x, according to the equation C(x)= 0.01x^2-2.6x+245. What number of batteries per hour minimizes the cost?
Answer provided by our tutors
For the given cost function, a = 0.01, b = -2.6, c = 245
The minimum cost occurs at x = -b/2a = 2.6/(2 * 0.01) = 130 batteries
The minimum cost is 0.01(130^2) - 2.6(130) + 245 = $76.