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The Willy Tonka Factory creates chocolate crunch bars and chocolate peanut butter bars. During any month, the Factory can make at most 100 pounds of bars. The cost to produce a pound of chocolate bars and the demands for pounds of bars, which must be met on time, are listed in the table below. It costs $0.20 to hold a pound of chocolate crunch bars in inventory for one month and $0.10 to hold a pound of chocolate peanut butter bars in inventory for one month. Draw the diagram to model this inventory problem and Formulate an LP to minimize the total cost of meeting the next three months' demands for chocolate bars using full problem data. You may choose to also write this in general form for extra practice.

The Willy Tonka Factory creates chocolate crunch bars and chocolate peanut butter bars. During any month, the Factory can make at most 100 pounds of bars. The cost to produce a pound of chocolate bars and the demands for pounds of bars, which must be met on time, are listed in the table below. It costs $0.20 to hold a pound of chocolate crunch bars in inventory for one month and $0.10 to hold a pound of chocolate peanut butter bars in inventory for one month. Draw the diagram to model this inventory problem and Formulate an LP to minimize the total cost of meeting the next three months' demands for chocolate bars using full problem data. You may choose to also write this in general form for extra practice.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The Willy Tonka Factory creates chocolate crunch bars and chocolate peanut butter bars. During any month, the Factory can make at most 100 pounds of bars. The cost to produce a pound of chocolate bars and the demands for pounds of bars, which must be met on time, are listed in the table below. It costs $0.20 to hold a pound of chocolate crunch bars in inventory for one month and $0.10 to hold a pound of chocolate peanut butter bars in inventory for one month. Draw the diagram to model this inventory problem and Formulate an LP to minimize the total cost of meeting the next three months' demands for chocolate bars using full problem data. You may choose to also write this in general form for extra practice. Item Choc. Crunch Choc. Peanut Item Table 2: Demands Month 1 Month 2 Month 3 (lb) (lb) (lb) 50 55 20 20 Choc. Crunch Choc. Peanut Table 3: Cost of Production Month 1 Month 2 ($/lb) ($/lb) 4.00 4.10 3.00 3.05 60 50 2 Month 3 ($/lb) 4.10 3.20 Note: we may not be all the way finished with Minimum Spanning Trees by the end of class on the 6th, so you may only be responsible for part of the MST material for the quiz on the 8th and not everything covered by this question. We'll make a note of this during class on the 6th.
Transcribed Image Text:The Willy Tonka Factory creates chocolate crunch bars and chocolate peanut butter bars. During any month, the Factory can make at most 100 pounds of bars. The cost to produce a pound of chocolate bars and the demands for pounds of bars, which must be met on time, are listed in the table below. It costs $0.20 to hold a pound of chocolate crunch bars in inventory for one month and $0.10 to hold a pound of chocolate peanut butter bars in inventory for one month. Draw the diagram to model this inventory problem and Formulate an LP to minimize the total cost of meeting the next three months' demands for chocolate bars using full problem data. You may choose to also write this in general form for extra practice. Item Choc. Crunch Choc. Peanut Item Table 2: Demands Month 1 Month 2 Month 3 (lb) (lb) (lb) 50 55 20 20 Choc. Crunch Choc. Peanut Table 3: Cost of Production Month 1 Month 2 ($/lb) ($/lb) 4.00 4.10 3.00 3.05 60 50 2 Month 3 ($/lb) 4.10 3.20 Note: we may not be all the way finished with Minimum Spanning Trees by the end of class on the 6th, so you may only be responsible for part of the MST material for the quiz on the 8th and not everything covered by this question. We'll make a note of this during class on the 6th.
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