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A R&C Ltd produces and sells 6” Cider Blocks. R&C Ltd has a revenue function of  ?(?) = 2?2 + 50? + 600 and a cost function of ?(?) = 3?2 + 100 , where R and C are measured in thousands of dollars and ? represent the number of Cider Blocks in thousands of dollars that are produced and sold. Using the statement above answer the following questions below;  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 the answer. d) Calculate R&C Ltd’s maximum profit.

A R&C Ltd produces and sells 6” Cider Blocks. R&C Ltd has a revenue function of  ?(?) = 2?2 + 50? + 600 and a cost function of ?(?) = 3?2 + 100 , where R and C are measured in thousands of dollars and ? represent the number of Cider Blocks in thousands of dollars that are produced and sold. Using the statement above answer the following questions below;  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 the answer. d) Calculate R&C Ltd’s maximum profit.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 11E
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A R&C Ltd produces and sells 6” Cider Blocks. R&C Ltd has a revenue function of  ?(?) = 2?2 + 50? + 600 and a cost function of ?(?) = 3?2 + 100 , where R and C are measured in thousands of dollars and ? represent the number of Cider Blocks in thousands of dollars that are produced and sold.

Using the statement above answer the following questions below; 

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 the answer.

d) Calculate R&C Ltd’s maximum profit.

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