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 +5.1x+ 40, find each of the following. a) P(x) b) R(200), C(200), and P(200) c) R'(x), C'(x), and P'(x) d) R'(200), C'(200), and P'(200) a) P(x) = -0.004x² + 2.9x – 40 (Use integers or decimals for any numbers in the expression.) b) R(200) = S1600 (Type an integer or a decimal.) C(200) = S 1220 (Type an integer or a decimal.) P(200) = S 380 (Type an integer or a decimal.) c) R'(x) = 8 (Type an integer or a decimal.) C'(x) = 0.008x + 5.1 (Use integers or decimals for any numbers in the expression.) P'(x) =-0.008x +2.9 (Use integers or decimals for any numbers in the expression.) d) R'(200) = S per item (Type an integer or a decimal.) C'(200) = S per item (Type an integer or a decimal.) P'(200) = S per item (Type an integer or a decimal."
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 +5.1x+ 40, find each of the following. a) P(x) b) R(200), C(200), and P(200) c) R'(x), C'(x), and P'(x) d) R'(200), C'(200), and P'(200) a) P(x) = -0.004x² + 2.9x – 40 (Use integers or decimals for any numbers in the expression.) b) R(200) = S1600 (Type an integer or a decimal.) C(200) = S 1220 (Type an integer or a decimal.) P(200) = S 380 (Type an integer or a decimal.) c) R'(x) = 8 (Type an integer or a decimal.) C'(x) = 0.008x + 5.1 (Use integers or decimals for any numbers in the expression.) P'(x) =-0.008x +2.9 (Use integers or decimals for any numbers in the expression.) d) R'(200) = S per item (Type an integer or a decimal.) C'(200) = S per item (Type an integer or a decimal.) P'(200) = S per item (Type an integer or a decimal."
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 64E: Dogs Human Age From the data printed in the following table from the Minneapolis Star Tribune on...
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![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 +5.1x+ 40, find each of the following.
a) P(x)
b) R(200), C(200), and P(200)
c) R'(x), C'(x), and P'(x)
d) R'(200), C'(200), and P'(200)
a) P(x) = -0.004x² + 2.9x – 40
(Use integers or decimals for any numbers in the expression.)
b) R(200) = S1600
(Type an integer or a decimal.)
C(200) = S 1220
(Type an integer or a decimal.)
P(200) = S 380
(Type an integer or a decimal.)
c) R'(x) = 8 (Type an integer or a decimal.)
C'(x) = 0.008x + 5.1
(Use integers or decimals for any numbers in the expression.)
P'(x) =-0.008x +2.9
(Use integers or decimals for any numbers in the expression.)
d) R'(200) = S per item
(Type an integer or a decimal.)
C'(200) = $ per item
(Type an integer or a decimal.)
P'(200) = S per item
(Type an integer or a decimal.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F028b060d-9803-401e-aed3-b5113bbdb174%2F3074a948-7430-415e-92c7-a984edc10c41%2Fp2ppe5l_processed.png&w=3840&q=75)
Transcribed Image Text: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 +5.1x+ 40, find each of the following.
a) P(x)
b) R(200), C(200), and P(200)
c) R'(x), C'(x), and P'(x)
d) R'(200), C'(200), and P'(200)
a) P(x) = -0.004x² + 2.9x – 40
(Use integers or decimals for any numbers in the expression.)
b) R(200) = S1600
(Type an integer or a decimal.)
C(200) = S 1220
(Type an integer or a decimal.)
P(200) = S 380
(Type an integer or a decimal.)
c) R'(x) = 8 (Type an integer or a decimal.)
C'(x) = 0.008x + 5.1
(Use integers or decimals for any numbers in the expression.)
P'(x) =-0.008x +2.9
(Use integers or decimals for any numbers in the expression.)
d) R'(200) = S per item
(Type an integer or a decimal.)
C'(200) = $ per item
(Type an integer or a decimal.)
P'(200) = S per item
(Type an integer or a decimal.)
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