You are an office manager. You need to purchase new filing cabinets. You know that Abe Cabinets cost $40 each, require 6 square feet of floor space and hold 8 cubic feet of files. On the other hand, each Lincoln Cabinet cost $80, require 8 square feet of floor space and holds 12 cubic feet. The budget permits you to spend no more than $560 on files, while the office has room for no more than 72 square feet of cabinets. You desire the greatest storage capacity within the limitations imposed by funds and space. How many of each type of cabinet should you buy? Clearly write the linear program that models this situation. Make certain to define your variables. Use the corner point (graphical) method to solve. Make certain to label your graph and show all steps in the solution process including all corner points of the area of feasible solutions.

You are an office manager. You need to purchase new filing cabinets. You know that Abe Cabinets cost $40 each, require 6 square feet of floor space and hold 8 cubic feet of files. On the other hand, each Lincoln Cabinet cost $80, require 8 square feet of floor space and holds 12 cubic feet. The budget permits you to spend no more than $560 on files, while the office has room for no more than 72 square feet of cabinets. You desire the greatest storage capacity within the limitations imposed by funds and space. How many of each type of cabinet should you buy? Clearly write the linear program that models this situation. Make certain to define your variables. Use the corner point (graphical) method to solve. Make certain to label your graph and show all steps in the solution process including all corner points of the area of feasible solutions.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 22PS: In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air...

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Question

I have come up with several different answers to this problem.

Please show me the work, a full graph and do not use derivatives.

y
You are an office manager. You need to
purchase new filing cabinets. You know that
Abe Cabinets cost $40 each, require 6 square
feet of floor space and hold 8 cubic feet of
files. On the other hand, each Lincoln Cabinet
cost $80, require 8 square feet of floor space
and holds 12 cubic feet. The budget permits
you to spend no more than $560 on files,
while the office has room for no more than 72
square feet of cabinets. You desire the
greatest storage capacity within the
limitations imposed by funds and space. How
many of each type of cabinet should you buy?
Clearly write the linear program that models
this situation. Make certain to define your
variables. Use the corner point (graphical)
method to solve. Make certain to label your
graph and show all steps in the solution
process including all corner points of the area
X of feasible solutions.

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