| 52. Break-even analysis. The price-demand equation and the cost function for the production of handwoven silk scarves are given, respectively, by p = 60 – 2Vx where x is the number of scarves that can be sold at a price of Sp per unit and C(x) is the total cost (in dollars) of producing x scarves. and C(x) = 3,000 + 5x %3D (A) Express the revenue function in terms of x. (B) Graph the cost function and the revenue function in the same viewing window for 0 < x < 900. Use approxi- mation techniques to find the break-even points correct to the nearest unit.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter11: The Firm: Production And Costs
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A 52. Break-even analysis. The price-demand equation and the
cost function for the production of handwoven silk scarves
are given, respectively, by
p = 60 – 2Vx and
C(x) = 3,000 + 5x
%3D
where x is the number of scarves that can be sold at a price of
Sp per unit and C(x) is the total cost (in dollars) of producing
x scarves.
(A) Express the revenue function in terms of x.
(B) Graph the cost function and the revenue function in the
same viewing window for 0 < x< 900. Use approxi-
mation techniques to find the break-even points correct
to the nearest unit.
Transcribed Image Text:A 52. Break-even analysis. The price-demand equation and the cost function for the production of handwoven silk scarves are given, respectively, by p = 60 – 2Vx and C(x) = 3,000 + 5x %3D where x is the number of scarves that can be sold at a price of Sp per unit and C(x) is the total cost (in dollars) of producing x scarves. (A) Express the revenue function in terms of x. (B) Graph the cost function and the revenue function in the same viewing window for 0 < x< 900. Use approxi- mation techniques to find the break-even points correct to the nearest unit.
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