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Formulate a linear programming problem that can be used to solve the following question. A dealer has 8300 pounds of peanuts, 5800 pounds of almonds, and 3600 pounds of cashews to be used to make two mixtures. The first mixture wholesales for $1.50 per pound and consists of 55% peanuts, 30% almonds, and 15% cashews. The second mixture wholesales for $3.00 per pound and consists of 20% peanuts, 45% almonds, and 35% cashews. How many pounds of each mixture should the dealer make to maximize revenue? x = number of pounds of the first mixture v y = number of pounds of the second mixture v Maximize v F = (objective function) Subject to (pounds of peanuts) (pounds of almonds) (pounds of cashews) |× 0, y< x 0 (nonnegativity constraint) Additional Materials M eBook

Formulate a linear programming problem that can be used to solve the following question. A dealer has 8300 pounds of peanuts, 5800 pounds of almonds, and 3600 pounds of cashews to be used to make two mixtures. The first mixture wholesales for $1.50 per pound and consists of 55% peanuts, 30% almonds, and 15% cashews. The second mixture wholesales for $3.00 per pound and consists of 20% peanuts, 45% almonds, and 35% cashews. How many pounds of each mixture should the dealer make to maximize revenue? x = number of pounds of the first mixture v y = number of pounds of the second mixture v Maximize v F = (objective function) Subject to (pounds of peanuts) (pounds of almonds) (pounds of cashews) |× 0, y< x 0 (nonnegativity constraint) Additional Materials M eBook

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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Formulate a linear programming problem that can be used to solve the following question. A dealer has 8300 pounds of peanuts, 5800 pounds of almonds, and 3600 pounds of cashews to be used to make two mixtures. The first mixture wholesales for $1.50 per pound and consists of 55% peanuts, 30% almonds, and 15% cashews. The second mixture wholesales for $3.00 per pound and consists of 20% peanuts, 45% almonds, and 35% cashews. How many pounds of each mixture should the dealer make to maximize revenue? x = number of pounds of the first mixture v y = number of pounds of the second mixture v Maximize F = (objective function) Subject to (pounds of peanuts) (pounds of almonds) (pounds of cashews) x 0, y< X 0 (nonnegativity constraint) Additional Materials еВook
Transcribed Image Text:Formulate a linear programming problem that can be used to solve the following question. A dealer has 8300 pounds of peanuts, 5800 pounds of almonds, and 3600 pounds of cashews to be used to make two mixtures. The first mixture wholesales for $1.50 per pound and consists of 55% peanuts, 30% almonds, and 15% cashews. The second mixture wholesales for $3.00 per pound and consists of 20% peanuts, 45% almonds, and 35% cashews. How many pounds of each mixture should the dealer make to maximize revenue? x = number of pounds of the first mixture v y = number of pounds of the second mixture v Maximize F = (objective function) Subject to (pounds of peanuts) (pounds of almonds) (pounds of cashews) x 0, y< X 0 (nonnegativity constraint) Additional Materials еВook
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