3. A R&C Ltd produces and sells 6" Cider Blocks. R&C Ltd has a revenue function of R(q) = 2q² +50q+600 and a cost function of C(q) = 3q² +100, where R and C are measured in thousands of dollars and q represent the number of Cider Blocks in thousands of dollars that are produced and sold. a) Find the profit function. b) Determine the number of Cider Blocks needed to maximize R&C Ltd's profit. c) In your view, is R&C Ltd's rate of profit increasing or decreasing when 30,000 6" Cider Blocks are produced and sold? Give reasons for your answer. d) Calculate R&C Ltd's maximum profit. ||

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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3. A R&C Ltd produces and sells 6" Cider Blocks. R&C Ltd has a revenue function of
R(q) = 2q² +50q+600 and a cost function of C(q) = 3q² + 100, where R and C
are measured in thousands of dollars and q represent the number of Cider Blocks in
thousands of dollars that are produced and sold.
a) Find the profit function.
b) Determine the number of Cider Blocks needed to maximize R&C Ltd's profit.
c) In your view, is R&C Ltd's rate of profit increasing or decreasing when 30,000
6" Cider Blocks are produced and sold? Give reasons for your answer.
d) Calculate R&C Ltd's maximum profit.
||
Transcribed Image Text:3. A R&C Ltd produces and sells 6" Cider Blocks. R&C Ltd has a revenue function of R(q) = 2q² +50q+600 and a cost function of C(q) = 3q² + 100, where R and C are measured in thousands of dollars and q represent the number of Cider Blocks in thousands of dollars that are produced and sold. a) Find the profit function. b) Determine the number of Cider Blocks needed to maximize R&C Ltd's profit. c) In your view, is R&C Ltd's rate of profit increasing or decreasing when 30,000 6" Cider Blocks are produced and sold? Give reasons for your answer. d) Calculate R&C Ltd's maximum profit. ||
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