(c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x hundred units, where 3p? – x² = 12. How fast is the supply changing when the price is $4 per unit and is increasing at the rate of 87 cents per month? (d) MANUFACTURING At a certain factory, output Q is related to inputs x and y by the equation Q = 2r° + 3x*y? + (1+y)². If the current levels of input are x = 30 and y = 20, use calculus to estimate the change in input y that should be made to offset a decrease of 0.8 unit in input x so that output will be maintained at its current level.

(c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x hundred units, where 3p? – x² = 12. How fast is the supply changing when the price is $4 per unit and is increasing at the rate of 87 cents per month? (d) MANUFACTURING At a certain factory, output Q is related to inputs x and y by the equation Q = 2r° + 3x*y? + (1+y)². If the current levels of input are x = 30 and y = 20, use calculus to estimate the change in input y that should be made to offset a decrease of 0.8 unit in input x so that output will be maintained at its current level.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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