Product Machine hours to produce one lot Demand in liters Chavo Milk 100 400,000 Choco-chavo Milk 150 100,000 Chavo Milk Light 130 180,000

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
Problem 82E
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The Lechería La Vaquita company currently has three-star products, but it faces a problem of capacity to satisfy the demand for these products. In total, it has 65,000 machine hours per month for the production of these three products. The production time to produce a batch of 1000 liters each product, as well as its monthly demands are shown in the following table:

* TABLE *

Because in recent months there have been advertising campaigns for Leche Choco-Chavo and Leche Chavo Light, the company wants the demands for these products to be the first to be satisfied with the same level of importance, while Leche Chavo as it is a product already well positioned, it is the third priority of these products.

Formulate the goal programming mathematical model for this problem by clearly defining the sets, constraint variables, parameters, objective function (s), and constraints.

Product
Machine hours to produce one lot Demand in liters
Chavo Milk
100
400,000
Choco-chavo Milk
150
100,000
Chavo Milk Light
130
180,000
Transcribed Image Text:Product Machine hours to produce one lot Demand in liters Chavo Milk 100 400,000 Choco-chavo Milk 150 100,000 Chavo Milk Light 130 180,000
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