A company that manufactures sport supplements calculates that its costs and demand functions can be modeled by the equations C = 125,000 + .75x and 11) x where x is the number of units of sport supplements produced in 1 10 - week. If production in one particular week is 1,000 units and is increasing at a rate of 150 units per week, find the rate at which the profit is increasing.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Question
11
Air is being pumped into a spherical balloon so that its volume increases at a rate
of 100 cm³ /s. How fast is the radius of the balloon increasing when the diameter is 50
10)
cm?
11)
A company that manufactures sport supplements calculates that its costs and
demand functions can be modeled by the equations C = 125,000 + .75x and
p = 250 –
nx where x is the number of units of sport supplements produced in 1
week. If production in one particular week is 1,000 units and is increasing at a rate of
150 units per week, find the rate at which the profit is increasing.
Transcribed Image Text:Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm³ /s. How fast is the radius of the balloon increasing when the diameter is 50 10) cm? 11) A company that manufactures sport supplements calculates that its costs and demand functions can be modeled by the equations C = 125,000 + .75x and p = 250 – nx where x is the number of units of sport supplements produced in 1 week. If production in one particular week is 1,000 units and is increasing at a rate of 150 units per week, find the rate at which the profit is increasing.
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