Question

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 8x and C(x) = 0.004x^2 + 4.8x + 70, find each of the following a) P(x) b) R(100), C(100), and P(100) c) R'(x), C'(x), and P'(x) d) R'(100), C'(100), and P'(100) a) P(x) = (Use integers or decimals for any numbers in the expression.)

          Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 8x and C(x) = 0.004x^2 + 4.8x + 70, find each of the following
a) P(x)
b) R(100), C(100), and P(100)
c) R'(x), C'(x), and P'(x)
d) R'(100), C'(100), and P'(100)
a) P(x) = 
(Use integers or decimals for any numbers in the expression.)

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 8x and C(x) = 0.004x^2 + 4.8x + 70, find each of the following
a) P(x)
b) R(100), C(100), and P(100)
c) R'(x), C'(x), and P'(x)
d) R'(100), C'(100), and P'(100)
a) P(x) =
(Use integers or decimals for any numbers in the expression.)

Added by Timothy C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

02/25/2023

Step 1

Step 1: Given the function P(x) = Rx - Cx, we are asked to find P100. Show more…

Show all steps

Thanks for your feedback!

P(x) = Rx - Cx b) R100 = 8(100) = 800 C100 = 0.004 + 4.8(100) + 70 = 0.004 + 480 + 70 = 550.004 P100 = R100 - C100 c) R'(x) = dRx/dx = 8 C'(x) = dCx/dx = 4.8 P'(x) = R'(x) - C'(x) d) R100 = 800 C100 = 550.004 P100 = R100 - C100