Set up the constraints and objective function for the following linear programming problem. A discount store is offered two styles of slightly damaged coffee tables. The store has storage space for 60 tables and 105 hours of labor for repairing the defects. Each table of style A requires 1 hour of labor to repair, and each table of style B requires 2 hours. Style A is priced at $53 each, and style B at $40 each. How many of each style should be ordered to maximize gross sales? (Let x represent the number of tables of style A, y the number of tables of style B, and z the gross sales in dollars.) storage space labor
Set up the constraints and objective function for the following linear programming problem. A discount store is offered two styles of slightly damaged coffee tables. The store has storage space for 60 tables and 105 hours of labor for repairing the defects. Each table of style A requires 1 hour of labor to repair, and each table of style B requires 2 hours. Style A is priced at $53 each, and style B at $40 each. How many of each style should be ordered to maximize gross sales? (Let x represent the number of tables of style A, y the number of tables of style B, and z the gross sales in dollars.) storage space labor
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 constraints and objective function for the following linear programming problem. A discount store is offered two styles of slightly damaged coffee tables. The store has storage space for 60 tables and 105 hours of labor for repairing the defects. Each table of style A requires 1 hour of labor to repair, and each table of style B requires 2 hours. Style A is priced at $53 each, and style B at $40 each. How many of each style should be ordered to maximize gross sales? (Let x represent the number of tables of style A, y the number of tables of style B, and z the gross sales in dollars.)
| storage space |
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| labor |
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| x ≥ 0, y ≥ 0 |
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