Consider the diet problem given below. min z = 50x1 + 20x2 + 30x3 + 80x4 400x, + 200x2 + 150x3 + 500x4 z 500 2 6 s.t. (Calorie constraint) Зх, + 2x2 (Chocolate constraint) 2x¡ + 2x2 + 4x3 + 4x4 > 10 (Sugar constraint) 2x1 + 4х2 + X3 + 5x4 2 8 (Fat constraint) X¡ 2 0 (i = 1, 2, 3, 4) (Sign restrictions) a. Solve the model using Excel Solver. b. Solve the model using GAMS.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Consider the diet problem given below.
min z = 50x1 + 20x2 + 30x3 + 80x4
s.l.
400x1 + 200x2 + 150x3 + 500x4 > 500
(Calorie constraint)
3x1 +
2x2
2 6
(Chocolate constraint)
2x1 +
2x2 +
4x3 +
4x4 > 10
(Sugar constraint)
4x2 +
X; 2 0 (i = 1, 2, 3, 4)
2x1 +
X3 +
5x4 2 8
(Fat constraint)
(Sign restrictions)
а.
Solve the model using Excel Solver.
b. Solve the model using GAMS.
Transcribed Image Text:Consider the diet problem given below. min z = 50x1 + 20x2 + 30x3 + 80x4 s.l. 400x1 + 200x2 + 150x3 + 500x4 > 500 (Calorie constraint) 3x1 + 2x2 2 6 (Chocolate constraint) 2x1 + 2x2 + 4x3 + 4x4 > 10 (Sugar constraint) 4x2 + X; 2 0 (i = 1, 2, 3, 4) 2x1 + X3 + 5x4 2 8 (Fat constraint) (Sign restrictions) а. Solve the model using Excel Solver. b. Solve the model using GAMS.
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