A firm determines that units of its product can be sold daily at p dollars per unit, where I=1,000-p. The cost of producing a units per day is Do the following: n. Find the revene function R(r). b. Find the profit function P(r). C(z)=3,000+2r. c. Find the marginal revenue function, marginal profit function, and marginal cost function. d. Find C²(50) P(50) and 1² (50)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A firm determines that r units of its product can be sold daily at p dollars per unit, where
z = 1,000-p.
The cost of producing units per day is
C(r) 3.000+2.r.
Do the following:
n. Find the revenue function R(r).
b. Find the profit function P(r).
c. Find the marginal revenue function, marginal profit function, and marginal cost function.
d. Find C'(50), R'(50), and P(50).
e. Find the actual cost, actual rofit, and actual revenue after producing the 51 unit.
Transcribed Image Text:A firm determines that r units of its product can be sold daily at p dollars per unit, where z = 1,000-p. The cost of producing units per day is C(r) 3.000+2.r. Do the following: n. Find the revenue function R(r). b. Find the profit function P(r). c. Find the marginal revenue function, marginal profit function, and marginal cost function. d. Find C'(50), R'(50), and P(50). e. Find the actual cost, actual rofit, and actual revenue after producing the 51 unit.
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