4. Windies Cricket manufactures Windies supporter jerseys. The quantity q, of these jerseys demanded weekly is related to the wholesale price per jersey p, by the following equation: p = -0.006q+15 The weekly total cost incurred by Windies Cricket for producing q jerseys is: C(q) = 38q-0.02q² + 30,000 a. Determine an expression to represent the weekly Revenue function. b. Determine an expression to represent the weekly Profit function. c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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4. Windies Cricket manufactures Windies supporter jerseys. The quantity q, of these
jerseys demanded weekly is related to the wholesale price per jersey p, by the
following equation:
p = -0.006q+15
The weekly total cost incurred by Windies Cricket for producing q jerseys is:
C(q) = 38q -0.02q² +30,000
a. Determine an expression to represent the weekly Revenue function.
b. Determine an expression to represent the weekly Profit function.
c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.
d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450
jerseys?
e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, what
range(s) of Windies jerseys should be produced.
f. Calculate the equilibrium price and quantity for Windies jerseys.
Transcribed Image Text:4. Windies Cricket manufactures Windies supporter jerseys. The quantity q, of these jerseys demanded weekly is related to the wholesale price per jersey p, by the following equation: p = -0.006q+15 The weekly total cost incurred by Windies Cricket for producing q jerseys is: C(q) = 38q -0.02q² +30,000 a. Determine an expression to represent the weekly Revenue function. b. Determine an expression to represent the weekly Profit function. c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold. d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450 jerseys? e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, what range(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.
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Follow-up Question
f. Calculate the equilibrium price and quantity for Windies jerseys.
Transcribed Image Text:f. Calculate the equilibrium price and quantity for Windies jerseys.
Solution
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Follow-up Question
d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450
jerseys?
e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, what
range(s) of Windies jerseys should be produced.
f. Calculate the equilibrium price and quantity for Windies jerseys.
Transcribed Image Text:d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450 jerseys? e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, what range(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.
Solution
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SEE SOLUTION
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