Solve the following linear programming problem using simplex method.  A printing company makes three grades of wall posters. The better-quality posters sell for Rs. 2.50, intermediate quality for Rs.2.00 and the poorer quality poster for Rs. 1.50. Paper costs Rs. 0.75 for each of the better-quality posters and Rs.0.50 and Rs. 0.25 for each intimidates and poorer quality poster respectively. Because of poor quality paper, the less expensive posters require two minutes of printing time while the other two require 1 minute of printing time only. The department is allocated Rs.150 per day for paper. There are 480 minutes of printing time available daily and each minute that is used to estimate to cost the company Rs. 0.25. In addition, the department incurs a fixed daily cost of Rs. 125, which are not affected by the quantity and quality of papers produced. You are asked to suggest as to how much each type of posters is to produce in order to maximize daily profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Solve the following linear programming problem using simplex method. 

A printing company makes three grades of wall posters. The better-quality posters sell for Rs. 2.50, intermediate quality for Rs.2.00 and the poorer quality poster for Rs. 1.50. Paper costs Rs. 0.75 for each of the better-quality posters and Rs.0.50 and Rs. 0.25 for each intimidates and poorer quality poster respectively. Because of poor quality paper, the less expensive posters require two minutes of printing time while the other two require 1 minute of printing time only. The department is allocated Rs.150 per day for paper. There are 480 minutes of printing time available daily and each minute that is used to estimate to cost the company Rs. 0.25. In addition, the department incurs a fixed daily cost of Rs. 125, which are not affected by the quantity and quality of papers produced. You are asked to suggest as to how much each type of posters is to produce in order to maximize daily profit? 

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