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Set up the linear programming problem. An office manager is buying used filing cabinets. Small file cabinets cost $5 each and large file cabinets cost $12 each, and the manager cannot spend more than $86 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 10 square feet, and the office has no more than 80 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. 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. A. 5x+12y s86 5x +10y=80 x+y=5 OC. 5x+12y ≤ 86 10x + 5y ≤ 80 x25 OB. 5x+12y ≤ 86 5x + 10y= 80 y25 OD. 5x+12y ≤ 86 5x+ 10y = 80 x+y≤5

Set up the linear programming problem. An office manager is buying used filing cabinets. Small file cabinets cost $5 each and large file cabinets cost $12 each, and the manager cannot spend more than $86 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 10 square feet, and the office has no more than 80 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. 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. A. 5x+12y s86 5x +10y=80 x+y=5 OC. 5x+12y ≤ 86 10x + 5y ≤ 80 x25 OB. 5x+12y ≤ 86 5x + 10y= 80 y25 OD. 5x+12y ≤ 86 5x+ 10y = 80 x+y≤5

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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Set up the linear programming problem. An office manager is buying used filing cabinets. Small file cabinets cost $5 each and large file cabinets cost $12 each, and the manager cannot spend more than $86 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 10 square feet, and the office has no more than 80 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. 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. A. 5x+12y = 86 5x +10y= 80 x+y=5 OC. 5x+12y ≤ 86 10x + 5y ≤80 x25 OB. 5x+12y ≤ 86 5x + 10y=80 y25 OD. 5x+12y ≤ 86 5x+ 10y = 80 x+y≤5
Transcribed Image Text:Set up the linear programming problem. An office manager is buying used filing cabinets. Small file cabinets cost $5 each and large file cabinets cost $12 each, and the manager cannot spend more than $86 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 10 square feet, and the office has no more than 80 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. 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. A. 5x+12y = 86 5x +10y= 80 x+y=5 OC. 5x+12y ≤ 86 10x + 5y ≤80 x25 OB. 5x+12y ≤ 86 5x + 10y=80 y25 OD. 5x+12y ≤ 86 5x+ 10y = 80 x+y≤5
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