Question
9. The total cost and total avenue, in dollars, from producing x couches are given by
C(x) = 1000(x² + 6)/3+ 400 and R(x) = 1300Vx2 – 0.4x
%3D
both in thousands of dollars, find the rate at which total profit is changing when x items
have been produced and sold. (Hint: Find P(x) = R(x) – C(x); then using chain rule to
find P'(x)).
%3D
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Math
Calculus

Derivative

Transcribed Image Text

9. The total cost and total avenue, in dollars, from producing x couches are given by C(x) = 1000(x² + 6)/3+ 400 and R(x) = 1300Vx2 – 0.4x %3D both in thousands of dollars, find the rate at which total profit is changing when x items have been produced and sold. (Hint: Find P(x) = R(x) – C(x); then using chain rule to find P'(x)). %3D