A manufacturer of lighting fixtures has daily production costs modeled by y = 0.25x^2 - 10x +800, where x is the number of fixtures produced and y is the total cost in dollars.

Question

a.) What is the minimum daily production?

b.) How many fixtures should be produced each day to yield a minimum cost?

Answer 1

Minimum occurs at x = - b/2a.

In this case x = 10 / 2(0.25)

Substitute that value to determine minimum of y.