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?

Question

Jean Mosley

Mathematics

7 November, 20:00

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?

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Answers (1)

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Williamson · Answer 1

60 units

Step-by-step 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