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ΜΑΤΗ 11 The variables have been defined, the objective and constraints have been written. Now, you must finish each of the linear programming problems below. Start by graphing the constraints, shading, and testing vertices. 1) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires six square feet of floor space, and holds eight cubic feet of files. Cabinet Y costs $20 per unit, requires eight square feet of floor space, and holds twelve cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volume? Variables: X is the number of Cabinet X Y is the number of Cabinet Y Objective: V = 8X + 12Y Constraints: 10X + 20Y < 140 6X + 8Y < 72 14 13 12 10 3 4 7 9 10 11 12 13 14 15 16 x

ΜΑΤΗ 11 The variables have been defined, the objective and constraints have been written. Now, you must finish each of the linear programming problems below. Start by graphing the constraints, shading, and testing vertices. 1) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires six square feet of floor space, and holds eight cubic feet of files. Cabinet Y costs $20 per unit, requires eight square feet of floor space, and holds twelve cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volume? Variables: X is the number of Cabinet X Y is the number of Cabinet Y Objective: V = 8X + 12Y Constraints: 10X + 20Y < 140 6X + 8Y < 72 14 13 12 10 3 4 7 9 10 11 12 13 14 15 16 x

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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ΜΑΤΗ 11 The variables have been defined, the objective and constraints have been written. Now, you must finish each of the linear programming problems below. Start by graphing the constraints, shading, and testing vertices. 1) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires six square feet of floor space, and holds eight cubic feet of files. Cabinet Y costs $20 per unit, requires eight square feet of floor space, and holds twelve cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volume? Variables: X is the number of Cabinet X Y is the number of Cabinet Y Objective: V = 8X + 12Y Constraints: 10X + 20Y < 140 6X + 8Y < 72 14 13 12 10 3 4 7 9 10 11 12 13 14 15 16 x
Transcribed Image Text:ΜΑΤΗ 11 The variables have been defined, the objective and constraints have been written. Now, you must finish each of the linear programming problems below. Start by graphing the constraints, shading, and testing vertices. 1) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires six square feet of floor space, and holds eight cubic feet of files. Cabinet Y costs $20 per unit, requires eight square feet of floor space, and holds twelve cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volume? Variables: X is the number of Cabinet X Y is the number of Cabinet Y Objective: V = 8X + 12Y Constraints: 10X + 20Y < 140 6X + 8Y < 72 14 13 12 10 3 4 7 9 10 11 12 13 14 15 16 x
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