44. Chicago Skate Company produces three kinds of roller skates. The cost in dollars for producing x, y, and z units of each, respectively, is c(x, y, z) = 3000 + 27x + 36y + 47z. (a) The value of dc/ax is the change in cost due to a one unit increase in production of the least expensive skate, the levels of pro- duction of the higher-priced units being held fixed. Find it. (b) Find dc/əz, and interpret.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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44. Chicago Skate Company produces three kinds
of roller skates. The cost in dollars for producing
x, y, and z units of each, respectively, is
c(x, y, z) = 3000 + 27x + 36y + 47z.
(a) The value of dc/ax is the change in cost
due to a one unit increase in production of
the least expensive skate, the levels of pro-
duction of the higher-priced units being held
fixed. Find it.
(b) Find dc/əz, and interpret.
Transcribed Image Text:44. Chicago Skate Company produces three kinds of roller skates. The cost in dollars for producing x, y, and z units of each, respectively, is c(x, y, z) = 3000 + 27x + 36y + 47z. (a) The value of dc/ax is the change in cost due to a one unit increase in production of the least expensive skate, the levels of pro- duction of the higher-priced units being held fixed. Find it. (b) Find dc/əz, and interpret.
Expert Solution
Step 1

C(x,y,z) = 3000+27x+36y+47z 

Where x,y,z are the units of skates.

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