Question

Suppose a baby food company has determined that its total revenue R for its food is given by R=-x^3+75x^2+1800x where R is measured in dollars and x is the number of units (in thousands) produced. What production level will yield a maximum revenue?

Answer 1

60 units

Explanation:

dR/dx = -3x² + 150x + 1800 = 0

x² - 50x - 600 = 0

x² - 60x + 10x - 600 = 0

x(x - 60) + 10(x - 60) = 0

(x - 60)(x + 10) = 0

x = -10, 60

x = 60