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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, z and y, produced at each factory, respectively, and is expressed by the joint cost function: C(r, y) = 6x² + 4ry + 2y² + 2400 A) If the company manufactures 110 units at Factory X and 100 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 110 units have been produced at Factory X and 100 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 110 units have been produced at Factory X and 100 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, z and y, produced at each factory, respectively, and is expressed by the joint cost function: C(r, y) = 6x² + 4ry + 2y² + 2400 A) If the company manufactures 110 units at Factory X and 100 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 110 units have been produced at Factory X and 100 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 110 units have been produced at Factory X and 100 units have been produced at Factory Y. Rate of change = dollars per unit produced at Y.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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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, 3) = 62? + 4xy + 2y? + 2400 A) If the company manufactures 110 units at Factory X and 100 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 110 units have been produced at Factory X and 100 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 110 units have been produced at Factory X and 100 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, 3) = 62? + 4xy + 2y? + 2400 A) If the company manufactures 110 units at Factory X and 100 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 110 units have been produced at Factory X and 100 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 110 units have been produced at Factory X and 100 units have been produced at Factory Y. Rate of change = dollars per unit produced at Y.
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