Formulate but do not solve the following exercise as a linear programming problem. Ace Novelty manufactures Giant Pandas and Saint Bernards. Each Panda requires 1.5 yd2 of plush, 30 ft3 of stuffing, and 5 pieces of trim; each Saint Bernard requires 2 yd2 of plush, 35 ft3 of stuffing, and 8 pieces of trim. The profit for each Panda is $15 and the profit for each Saint Bernard is $20. If 3600 yd2 of plush, 66,000 ft3 of stuffing and 13,600 pieces of trim are available, how many of each of the stuffed animals should the company manufacture to maximize profit P in dollars? (Let x represent the number of Giant Pandas to be manufactured and y represent the number of Saint Bernards to be manufactured.)

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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Formulate but do not solve the following exercise as a linear programming problem.

Ace Novelty manufactures Giant Pandas and Saint Bernards. Each Panda requires 1.5 yd2 of plush, 30 ft3 of stuffing, and 5 pieces of trim; each Saint Bernard requires 2 yd2 of plush, 35 ft3 of stuffing, and 8 pieces of trim. The profit for each Panda is $15 and the profit for each Saint Bernard is $20. If 3600 yd2 of plush, 66,000 ft3 of stuffing and 13,600 pieces of trim are available, how many of each of the stuffed animals should the company manufacture to maximize profit P in dollars? (Let x represent the number of Giant Pandas to be manufactured and y represent the number of Saint Bernards to be manufactured.)

Maximize     P  = 
 
 
 
 subject to the constraints
plush    
 
 
 
stuffing    
 
 
 
trim    
 
 
 
      x ≥ 0
      y ≥ 0
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9781305652231
Author:
R. David Gustafson, Jeff Hughes
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