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Set Up the Linear Programming Problem

question 185

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Set up the linear programming problem.
-An office manager is buying used filing cabinets. Small file cabinets cost $6 each and large file cabinets cost$9 each, and the manager cannot spend more than $93 on file cabinets. A small cabinet takes up 5 squarefeet of floor space and a large cabinet takes up 8 square feet, and the office has no more than 80 square feetof floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get freedelivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought.Write a system of inequalities that describes these constraints.


Definitions:

Double-blind Procedure

An experimental method where neither the participants nor the experimenters know who is receiving a particular treatment.

Social Interaction

The process by which individuals act and react in relation to others, shaping society through their collective and individual behaviors.

Control Group

In experimental research, it is the group that does not receive the treatment or intervention, serving as a baseline to compare against the experimental group.

Dimly Lit Room

A room that is lightly illuminated, often creating a subdued or intimate atmosphere.

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