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) = 3x² + 10xy + 7y² + 3900 A) If the company manufactures 190 units at Factory X and 110 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 190 units have been produced at Factory X and 110 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 190 units have been produced at Factory X and 110 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, and y, produced at each factory, respectively, and is expressed by the joint cost function: C(x, y) = 3x² + 10xy + 7y² + 3900 A) If the company manufactures 190 units at Factory X and 110 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 190 units have been produced at Factory X and 110 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 190 units have been produced at Factory X and 110 units have been produced at Factory Y. Rate of change = dollars per unit produced at Y.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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, and y, produced at each factory, respectively, and
is expressed by the joint cost function:
C(x, y) = 3x² + 10xy + 7y² + 3900
A) If the company manufactures 190 units at Factory X and 110 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 190 units have been
produced at Factory X and 110 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 190 units have been
produced at Factory X and 110 units have been produced at Factory Y.
dollars per unit produced at Y.
Rate of change =
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