1. Barstow Community College offers a total of 30 courses each semester. The courses offered are usually of two types: practical, such as woodworking, word processing, and car maintenan ce; and humanistic, such as history, music, and fine arts. To satisfy the demands of the community, at least 10 courses of each type must be offered each semester. The division estimates that the revenues of offering practical and humanistic courses are approximately $1500 and $1000 per course. respectively. a) Formulate this as an LP problem, Define your variables very clearly. You have to give the correct definition of the variables. (a) Devise an optimal course offering for the college. Use graphical solution. Show complete solution. Indicate the feasible region by shading it.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
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For the following problems, show COMPLETE and
step by step solution.
1. Barstow Community College offers a total of 30 courses each semester. The
courses offered are usually of two types: practical, such as woodworking, word
processing, and car maintenan ce; and humanistic, such as history, music, and fine
arts. To satisfy the demands of the community, at least 10 courses of each type
must be offered each semester. The division estimates that the revenues of offering
practical and humanistic courses are approximately $1500 and $1000 per course,
respectively.
a) Formulate this as an LP problem, Define your variables very clearly. You have
to give the correct definition of the variables.
(a) Devise an optimal course offering for the college. Use graphical solution. Show
complete solution. Indicate the feasible region by shading it.
Transcribed Image Text:For the following problems, show COMPLETE and step by step solution. 1. Barstow Community College offers a total of 30 courses each semester. The courses offered are usually of two types: practical, such as woodworking, word processing, and car maintenan ce; and humanistic, such as history, music, and fine arts. To satisfy the demands of the community, at least 10 courses of each type must be offered each semester. The division estimates that the revenues of offering practical and humanistic courses are approximately $1500 and $1000 per course, respectively. a) Formulate this as an LP problem, Define your variables very clearly. You have to give the correct definition of the variables. (a) Devise an optimal course offering for the college. Use graphical solution. Show complete solution. Indicate the feasible region by shading it.
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