Formulate but do not solve the following exercise as a linear programming problem. A company manufactures x units of product A, y units of product B, and z units of product C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for departments I, II, and III is 940, 1240, and 830, respectively. The time requirements (in hours per unit) and profit per unit for each product are given in the table below. How many units of each product should the company produce in order to maximize its profit, P? Product AProduct B Product C Dept. I Dept. II Dept. III 2 2 Profit $16 $10 $15 Maximize subject to the constraints department I department II department III
Formulate but do not solve the following exercise as a linear programming problem. A company manufactures x units of product A, y units of product B, and z units of product C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for departments I, II, and III is 940, 1240, and 830, respectively. The time requirements (in hours per unit) and profit per unit for each product are given in the table below. How many units of each product should the company produce in order to maximize its profit, P? Product AProduct B Product C Dept. I Dept. II Dept. III 2 2 Profit $16 $10 $15 Maximize subject to the constraints department I department II department III
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ:
23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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