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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, æ and y, produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = 4a? + 5xy + 6y? + 400 A) If the company manufactures 100 units at Factory X and 200 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). Your expression = D) Find the rate of change of costs with respect to units produced at Factory X when 100 units have been produced at Factory X and 200 units have been produced at Factory Y. Rate of change = dollars per unit produced at X. E) Find the rate of change of costs with respect to units produced at Factory Y when 100 units have been produced at Factory X and 200 units have been produced at Factory Y. Rate of change = dollars per unit produced at Y.

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, æ and y, produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = 4a? + 5xy + 6y? + 400 A) If the company manufactures 100 units at Factory X and 200 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). Your expression = D) Find the rate of change of costs with respect to units produced at Factory X when 100 units have been produced at Factory X and 200 units have been produced at Factory Y. Rate of change = dollars per unit produced at X. E) Find the rate of change of costs with respect to units produced at Factory Y when 100 units have been produced at Factory X and 200 units have been produced at Factory Y. Rate of change = dollars per unit produced at Y.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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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, æ and y, produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = 4a? + 5xy + 6y? + 400 A) If the company manufactures 100 units at Factory X and 200 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). Your expression = D) Find the rate of change of costs with respect to units produced at Factory X when 100 units have been produced at Factory X and 200 units have been produced at Factory Y. Rate of change = dollars per unit produced at X. E) Find the rate of change of costs with respect to units produced at Factory Y when 100 units have been produced at Factory X and 200 units have been produced at Factory Y. Rate of change = dollars per unit produced at Y.
Transcribed Image Text: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, æ and y, produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = 4a? + 5xy + 6y? + 400 A) If the company manufactures 100 units at Factory X and 200 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). Your expression = D) Find the rate of change of costs with respect to units produced at Factory X when 100 units have been produced at Factory X and 200 units have been produced at Factory Y. Rate of change = dollars per unit produced at X. E) Find the rate of change of costs with respect to units produced at Factory Y when 100 units have been produced at Factory X and 200 units have been produced at Factory Y. Rate of change = dollars per unit produced at Y.
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