s the cost (in dollars) of making x small boxes, y medium boxes, and z large boxes as a function of three variabl

Elements Of Electromagnetics
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A company makes three sizes of cardboard boxes: small, medium, and large. It costs $2.50 to make a small box, $4.00 for a medium box, and $5.00 for a large box. Fixed costs are $9,000.
(a)
Express the cost (in dollars) of making x small boxes, y medium boxes, and z large boxes as a function of three variables: 
C = f(x, y, z).
f(x, y, z) = 
 
 
 
(b)
Find f(3,000, 6,000, 5,000) and interpret it.
 
This is the cost for making       small boxes,       medium boxes, and       large boxes.
(c)
What is the domain of f?
Each of x, y and z can be any non-negative real number.
Each of x, y and z must be a negative integer or zero.
    
Each of x, y and z can be any real or complex number.
Each of x, y and z can be any real number.
Each of x, y and z must be a positive integer or zero.
A company makes three sizes of cardboard boxes: small, medium, and large. It costs $2.50 to make a small box, $4.00 for a medium box, and $5.00 for a large box.
Fixed costs are $9,000.
(a) Express the cost (in dollars) of making x small boxes, y medium boxes, and z large boxes as a function of three variables: C = f(x, y, z).
f(x, y, z) =
(b) Find f(3,000, 6,000, 5,000) and interpret it.
This is the cost for making ---Select--- small boxes, ---Select--- medium boxes, and ---Select--- large boxes.
(c) What is the domain of f?
Each of x, y and z can be any non-negative real number.
Each of x, y and z must be a negative integer or zero.
Each of x, y and z can be any real or complex number.
Each of x, y and z can be any real number.
O Each of x, y and z must be a positive integer or zero.
Transcribed Image Text:A company makes three sizes of cardboard boxes: small, medium, and large. It costs $2.50 to make a small box, $4.00 for a medium box, and $5.00 for a large box. Fixed costs are $9,000. (a) Express the cost (in dollars) of making x small boxes, y medium boxes, and z large boxes as a function of three variables: C = f(x, y, z). f(x, y, z) = (b) Find f(3,000, 6,000, 5,000) and interpret it. This is the cost for making ---Select--- small boxes, ---Select--- medium boxes, and ---Select--- large boxes. (c) What is the domain of f? Each of x, y and z can be any non-negative real number. Each of x, y and z must be a negative integer or zero. Each of x, y and z can be any real or complex number. Each of x, y and z can be any real number. O Each of x, y and z must be a positive integer or zero.
Expert Solution
Step 1

Given:

The cost to make a small box =$2.50

The cost to make a medium box =$4.00

The cost to make a large box =$5.00

Fixed cost =$9000

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