8. A manager wants to buy filing cabinets. Cabinet A cost $100, requires 6 square feet of floor space, and holds 8 cubic feet. Cabinet B costs $200, requires 8 square feet of floor space, and holds 12 cubic feet. No more than $1400 can be spent, and the office has room for no more than 72 square feet of cabinets. The manager wants the maximum storage capacity within the limits imposed by funds and space. How many of each type of cabinet should be bought? Clearly assign your variables. Identify the objective function and the list of constraints. Show a graph of the feasible solution set.

8. A manager wants to buy filing cabinets. Cabinet A cost $100, requires 6 square feet of floor space, and holds 8 cubic feet. Cabinet B costs $200, requires 8 square feet of floor space, and holds 12 cubic feet. No more than $1400 can be spent, and the office has room for no more than 72 square feet of cabinets. The manager wants the maximum storage capacity within the limits imposed by funds and space. How many of each type of cabinet should be bought? Clearly assign your variables. Identify the objective function and the list of constraints. Show a graph of the feasible solution set.

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

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Please show work and explain

8. A manager wants to buy filing cabinets.
Cabinet A cost $100, requires 6 square feet of
floor space, and holds 8 cubic feet. Cabinet B
costs $200, requires 8 square feet of floor
space, and holds 12 cubic feet. No more than
$1400 can be spent, and the office has room
for no more than 72 square feet of cabinets.
The manager wants the maximum storage
capacity within the limits imposed by funds
and space. How many of each type of cabinet
should be bought?
Clearly assign your variables.
Identify the objective function and the list of
constraints.
Show a graph of the feasible solution set.

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