A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars) of manufacturing depends on the quantities, and y, produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = 6x² + 3xy+9y²+4200 A) If the company manufactures 160 units at Factory X and 140 units at Factory Y, what are the total Costs of production? Total Costs = $ B) Find an expression for the rate of change of costs with respect to units produced at Factory X. Write your answer as an expression, not an equation (i.e. do not use an = sign). Your expression = C) Find an expression for the rate of change of costs with respect to units produced at Factory Y. Write your answer as an expression, not an equation (i.e. do not use an = = sign).
A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost (in dollars) of manufacturing depends on the quantities, and y, produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = 6x² + 3xy+9y²+4200 A) If the company manufactures 160 units at Factory X and 140 units at Factory Y, what are the total Costs of production? Total Costs = $ B) Find an expression for the rate of change of costs with respect to units produced at Factory X. Write your answer as an expression, not an equation (i.e. do not use an = sign). Your expression = C) Find an expression for the rate of change of costs with respect to units produced at Factory Y. Write your answer as an expression, not an equation (i.e. do not use an = = sign).
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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