6. The production manager for the COWRY soft drink company is considering the production of two kinds of soft drinks: regular (R) and diet (D). Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of the ingredients), limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. A.What is the objective function? B. Mention all the constraints

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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6. The production manager for the COWRY soft drink company is considering the production of
two kinds of soft drinks: regular (R) and diet (D). Two of her limited resources are production
time (8 hours = 480 minutes per day) and syrup (1 of the ingredients), limited to 675 gallons
per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet
case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per
case and profits for diet soft drink are $2.00 per case.
A.What is the objective function?
B. Mention all the constraints
7.Draw or solve the following graphically:
Max z = 3x1 + 4x2
Xq + 2x2 s 16
2x1 + 3x25 18
X1 22
X25 10
Xq, X2 20
What are the optimal values of x4, x2, and z?
s.t.
Transcribed Image Text:6. The production manager for the COWRY soft drink company is considering the production of two kinds of soft drinks: regular (R) and diet (D). Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of the ingredients), limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. A.What is the objective function? B. Mention all the constraints 7.Draw or solve the following graphically: Max z = 3x1 + 4x2 Xq + 2x2 s 16 2x1 + 3x25 18 X1 22 X25 10 Xq, X2 20 What are the optimal values of x4, x2, and z? s.t.
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