(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.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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