OPERATIONS MANAGEMENT W/ CNCT+
OPERATIONS MANAGEMENT W/ CNCT+
12th Edition
ISBN: 9781259574931
Author: Stevenson
Publisher: MCG CUSTOM
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Chapter 19, Problem 1DRQ

For which decision environment is linear programming most suited?

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Summary Introduction

To determine: The environment for which linear programming is most suited.

Linear programming:

Linear programming is a mathematical modeling method where a linear function is maximized or minimized taking the various constraints present in the problem into consideration. It is useful in making quantitative decisions in business planning.

Explanation of Solution

Environment for which linear programming is most suited:

Linear programming is most suitable in situations where there is a single objective. Linear programming can only solve one objective at a time; either maximizing the gains or minimizing the expenses. It will be suitable when there are specific constraints and many variables.

The constraints will be governing the variables. The numerical values, conditions and other requirements will be fixed in a linear programming model. Hence, linear programming is most suitable in similar environments.

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State in which decision environment is linear programming most suited .
A manufacturer has the capability to produce both chairs and tables. Both products use the same materials (wood, nails and paint) and both have a setup cost ($100 for chairs, $200 for tables). The firm earns a profit of $20 per chair and $65 per table and can sell as many of each as it can produce. The daily supply of wood, nails and paint is limited. To manage the decision-making process, an analyst has formulated the following linear programming model:Max 20x1 + 65x2 – 100y1 – 200y2s.t. 5x1 + 10x2 ≤ 100 {Constraint 1}20x1 + 50x2 ≤ 250 {Constraint 2}1x1 + 1.5x2 ≤ 10 {Constraint 3}My1 ≥ x1 {Constraint 4}My2 ≥ x2 {Constraint 5}yi={1, if product j is produced0, otherwiseyi=1, if product j is produced0, otherwiseWhich of the constraints limit the amount of raw materials that can be consumed?   A. Constraint 1 B. Constraint 4 C. Constraint 5 D. Constraint 1 and 4 E. Constraint 1, 2 and 3
Discuss the concept of constrained optimization tools of decision making.
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