Demand The demand function for a product is given by p = 8,000(1-30-0.004x) where p is the price per unit (in dollars) and x is the number of units sold. (Round your answers to the nearest whole number.) (a) Find the number of units sold when p = $500. units (b) Find the number of units sold when p = $1,100. units Minimum Average Cost The cost of producing x units of a product is modeled by C= 240 + 75x - 360 In(x), X ≥ 1. (a) Find the average cost function C. C(x) = (b) Find the minimum average cost analytically. Use a graphing utility to confirm your result. (Round your answer to two decimal places.)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
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Demand The demand function for a product is given by
p = 8,000(1-30-0.004x)
where p is the price per unit (in dollars) and x is the number of units sold. (Round your answers to the nearest whole number.)
(a) Find the number of units sold when p = $500.
units
(b) Find the number of units sold when p = $1,100.
units
Transcribed Image Text:Demand The demand function for a product is given by p = 8,000(1-30-0.004x) where p is the price per unit (in dollars) and x is the number of units sold. (Round your answers to the nearest whole number.) (a) Find the number of units sold when p = $500. units (b) Find the number of units sold when p = $1,100. units
Minimum Average Cost The cost of producing x units of a product is modeled by
C= 240 + 75x - 360 In(x),
X ≥ 1.
(a) Find the average cost function C.
C(x) =
(b) Find the minimum average cost analytically. Use a graphing utility to confirm your result. (Round your answer to two decimal places.)
Transcribed Image Text:Minimum Average Cost The cost of producing x units of a product is modeled by C= 240 + 75x - 360 In(x), X ≥ 1. (a) Find the average cost function C. C(x) = (b) Find the minimum average cost analytically. Use a graphing utility to confirm your result. (Round your answer to two decimal places.)
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