A company makes three sizes of cardboard boxes: small, medium, and large. It costs $1.50 to make a small box, $2.00 for a medium box, and $5.50 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)= 9000+ (1.50x + 2.00y + 5.50) (b) Find f(5,000, 4,000, 6,000) and interpret it. 57500 This is the cost for making --Select-- small boxes, ---Select--- medium boxes, and ---Select--- large boxes. (c) What is the domain of f? O Each of x, y and z can be any real or complex number. O Each of x, y and z can be any real number. O Each of x, y and z must be a negative integer or zero. O Each of x, y and z must be a positive integer or zero. O Each of x, y and z can be any non-negative real number.
A company makes three sizes of cardboard boxes: small, medium, and large. It costs $1.50 to make a small box, $2.00 for a medium box, and $5.50 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)= 9000+ (1.50x + 2.00y + 5.50) (b) Find f(5,000, 4,000, 6,000) and interpret it. 57500 This is the cost for making --Select-- small boxes, ---Select--- medium boxes, and ---Select--- large boxes. (c) What is the domain of f? O Each of x, y and z can be any real or complex number. O Each of x, y and z can be any real number. O Each of x, y and z must be a negative integer or zero. O Each of x, y and z must be a positive integer or zero. O Each of x, y and z can be any non-negative real number.
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...
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Transcribed Image Text:A company makes three sizes of cardboard boxes: small, medium, and large. It costs $1.50 to make a small box, $2.00 for a medium box, and $5.50 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) = 9000+ (1.50x + 2.00y + 5.50-)
(b) Find f(5,000, 4,000, 6,000) and interpret it.
57500
This is the cost for making --Select--- small boxes, --Select--- medium boxes, and --Select--- large boxes.
(c) What is the domain of f?
O Each of x, y and z can be any real or complex number.
O Each of x, y and z can be any real number.
O Each of x, y and z must be a negative integer or zero.
O Each of x, y and z must be a positive integer or zero.
O Each of x, y and z can be any non-negative real number.
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