Suppose that x and y represent the amounts of two basic inputs for a production process and that the equation 81x" 7y079 -4115 describes all input amounts where the output of the process is 4115 units. dy a) Find b) What is the marginal rate of substitution of x for y when x = 16 and y = 128? xp a) dx (Simplify your answer.) b) The marginal rate of substitution of x for y when x= 16 and y= 128 is (Simplify your answer.)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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4/9 5/9
Suppose that x and y represent the amounts of two basic inputs for a production process and that the equation 81x*y°7 - 4115 describes all input amounts where the output of the process is 4115 units.
dy
a) Find
dx
b) What is the marginal rate of substitution of x for y when x = 16 and y = 128?
dy
a)
(Simplify your answer.)
xp
b) The marginal rate of substitution of x for y when x= 16 and y = 128 is.
(Simplify your answer.)
Transcribed Image Text:4/9 5/9 Suppose that x and y represent the amounts of two basic inputs for a production process and that the equation 81x*y°7 - 4115 describes all input amounts where the output of the process is 4115 units. dy a) Find dx b) What is the marginal rate of substitution of x for y when x = 16 and y = 128? dy a) (Simplify your answer.) xp b) The marginal rate of substitution of x for y when x= 16 and y = 128 is. (Simplify your answer.)
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