LP Model Formulation Please make sure that your answers in LP Model Formulation are composed of Decision Variables, Objective Function and Constraints. 1. RDB caterer must prepare from five fruit drinks in stock 500 gal of a punch containing at least 20 percent orange juice, 10 percent grapefruit juice, and 5 percent cranberry juice. If inventory data are as shown below, formulate the LP model that will enable RDB caterer to determine how much of each fruit drink to use to obtain the required composition at minimum total cost. Orange Juice,% Grapefruit Juice,% Cranberry Juice,% Supply, gal Cost ($)/ gal Drink A 40 40 200 1.5 Drink B 5 10 20 400 0.75 Drink C 100 100 2.00 Drink D 100 50 1.75 Drink E 800 0.25

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section3.8: A Multiperiod Production Model
Problem 22P
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LP Model Formulation
Please make sure that your answers in LP Model Formulation are composed of Decision Variables, Objective Function
and Constraints.
1. RDB caterer must prepare from five fruit drinks in stock 500 gal of a punch containing at least 20 percent orange juice, 10
percent grapefruit juice, and 5 percent cranberry juice. If inventory data are as shown below, formulate the LP model that
will enable RDB caterer to determine how much of each fruit drink to use to obtain the required composition at minimum
total cost.
Orange Juice,%
Cranberry
Supply, gal
Cost ($) / gal
Grapefruit
Juice,%
Juice,%
Drink A
40
40
200
1.5
Drink B
5
10
20
400
0.75
Drink C
100
100
2.00
Drink D
100
50
1.75
Drink E
800
0.25
Transcribed Image Text:LP Model Formulation Please make sure that your answers in LP Model Formulation are composed of Decision Variables, Objective Function and Constraints. 1. RDB caterer must prepare from five fruit drinks in stock 500 gal of a punch containing at least 20 percent orange juice, 10 percent grapefruit juice, and 5 percent cranberry juice. If inventory data are as shown below, formulate the LP model that will enable RDB caterer to determine how much of each fruit drink to use to obtain the required composition at minimum total cost. Orange Juice,% Cranberry Supply, gal Cost ($) / gal Grapefruit Juice,% Juice,% Drink A 40 40 200 1.5 Drink B 5 10 20 400 0.75 Drink C 100 100 2.00 Drink D 100 50 1.75 Drink E 800 0.25
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