A grocery store plans to introduce two new types of sweets for the holiday season. The store's manager wants to know how many unites of sweet A and B to produce. Sweet A is a mix of 2/3 cup of milk and 1/3 cup of flour. The sweet B on the other hand is a mix of ½ cup of milk and ½ cup of flour. The store has 90 cups of milk and 60 cups of flour to work with. Milk costs $.60 per cup and flour costs $1.50 per cup. The A sweet will sell for $2.90 per unit, and the B sweet will sell for $2.55 per unit. The owner estimates that no more than 110 unit of one type can be sold. Formulate the problem as a linear programming to maximize the profit and use graphical solution method to solve it.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question #1
A grocery store plans to introduce two new types of sweets for the holiday season. The store's manager
wants to know how many unites of sweet A and B to produce. Sweet A is a mix of 2/3 cup of milk and 1/3
cup of flour. The sweet B on the other hand is a mix of ½ cup of milk and ½ cup of flour. The store has 90
cups of milk and 60 cups of flour to work with. Milk costs $.60 per cup and flour costs $1.50 per cup. The
A sweet will sell for $2.90 per unit, and the B sweet will sell for $2.55 per unit. The owner estimates that
no more than 110 unit of one type can be sold. Formulate the problem as a linear programming to
maximize the profit and use graphical solution method to solve it.
Question #2
Solve the following LP model using simplex method.
Maximize Z=x1+2x2+X3
Subject to:
X1+0.5x2+0.5x351
1.5x1+2x2+X328
X1, X2, X320
Transcribed Image Text:Question #1 A grocery store plans to introduce two new types of sweets for the holiday season. The store's manager wants to know how many unites of sweet A and B to produce. Sweet A is a mix of 2/3 cup of milk and 1/3 cup of flour. The sweet B on the other hand is a mix of ½ cup of milk and ½ cup of flour. The store has 90 cups of milk and 60 cups of flour to work with. Milk costs $.60 per cup and flour costs $1.50 per cup. The A sweet will sell for $2.90 per unit, and the B sweet will sell for $2.55 per unit. The owner estimates that no more than 110 unit of one type can be sold. Formulate the problem as a linear programming to maximize the profit and use graphical solution method to solve it. Question #2 Solve the following LP model using simplex method. Maximize Z=x1+2x2+X3 Subject to: X1+0.5x2+0.5x351 1.5x1+2x2+X328 X1, X2, X320
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