The yearly demand function for Penn State Bakery cookie trays is given by x² + 4p² + 3x + 12p = 202 where p is the wholesale unit price in dollars and x is the quantity demanded each year, measured in units of a thousand. (a) Compute the price, p, when x = 10. Price, p = dollars (b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x = 10. Do not round your answer. Rate of change of demand, x' = thousands of units per dollar (c) Compute the elasticity of demand when x = 10. Do not round your answer. Elasticity of Demand =

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 88E
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The yearly demand function for Penn State Bakery cookie trays is given by
x² + 4p² + 3x + 12p :
=
where p is the wholesale unit price in dollars and x is the quantity demanded each year, measured in units of a thousand.
(a) Compute the price, p, when x = 10.
Price, p =
dollars
(b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x = 10. Do not round your answer.
Rate of change of demand, x' =
thousands of units per dollar
(c) Compute the elasticity of demand when x = 10. Do not round your answer.
Elasticity of Demand =
202
Transcribed Image Text:The yearly demand function for Penn State Bakery cookie trays is given by x² + 4p² + 3x + 12p : = where p is the wholesale unit price in dollars and x is the quantity demanded each year, measured in units of a thousand. (a) Compute the price, p, when x = 10. Price, p = dollars (b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x = 10. Do not round your answer. Rate of change of demand, x' = thousands of units per dollar (c) Compute the elasticity of demand when x = 10. Do not round your answer. Elasticity of Demand = 202
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