The monthly demand function for x units of a product sold by a monopoly is p=5.100-1² dollars, and its average cost is C-3,040 + 2x dollars. Production is limited to 100 units. Find the revenue function, R(x), in dollars. R(X) - Find the cost function, C(x), in dollars. ((x)= Find the profit function, P(x), in dollars P(X) - Find P(x) P(x) = Find the number of units that maximizes profits. (Round your answer to the nearest whole number) units Find the maximum profit. (Round your answer to the nearest cent.) $ Does the maximum profit result in a profit or loss? O profe loss

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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The monthly demand function for x units of a product sold by a monopoly is p = 5,100-² dollars, and its average cost is C 3,040+ 2x dollars. Production is limited to 100 units.
Find the revenue function, R(x), in dollars.
R(X) -
Find the cost function, C(x), in dollars.
C(x)=
Find the profit function, P(x), in dollars
P(X) -
Find P(x)
P(x) =
Find the number of units that maximizes profits. (Round your answer to the nearest whole number.)
units
Find the maximum profit. (Round your answer to the nearest cent.)
$
Does the maximum profit result in a profit or loss?
O profit
loss
Transcribed Image Text:The monthly demand function for x units of a product sold by a monopoly is p = 5,100-² dollars, and its average cost is C 3,040+ 2x dollars. Production is limited to 100 units. Find the revenue function, R(x), in dollars. R(X) - Find the cost function, C(x), in dollars. C(x)= Find the profit function, P(x), in dollars P(X) - Find P(x) P(x) = Find the number of units that maximizes profits. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest cent.) $ Does the maximum profit result in a profit or loss? O profit loss
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