C. Read and understand the word problems below. Generate the full linear programming model for and...
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C. Read and understand the word problems below. Generate the full linear programming model for and determine the optimal solution and the minimum/ maximum value of the objective function. 1. Mr. Panes has lands planted with kamagong and narra trees. He spends P50,000 to harvest one hectare of kamagong and P75,000 to harvest one hectare of narra. A hectare of kamagong will yield 10 units of pulpwood, 5 units of resin, and 6 units of lumber. A hectare of narra will yield 30 units of pulpwood, 10 units of resin and 3 units of lumber. Mr. Panes has standing order of 60 units of pulpwood, 25 units of resin and 12 units of lumber. How many hectares of narra and kamagong must be harvested to minimize cost while providing for orders? How much is the minimum cost? 2. Mr. Sanchez has just received his patronage refund amounting to P50,000. He is planning to invest the money that would earn him interest at the end of the month. His friend advised him to invest at least 60% of the money to their credit union that provides a monthly interest of 3.5% on investment and at most 20% of the money to a lending institution that provides a 4.5% monthly interest on investment. How much must he invest to the credit union and to the lending institution to maximize his monthly earnings? How much will his monthly income be? C. Read and understand the word problems below. Generate the full linear programming model for and determine the optimal solution and the minimum/ maximum value of the objective function. 1. Mr. Panes has lands planted with kamagong and narra trees. He spends P50,000 to harvest one hectare of kamagong and P75,000 to harvest one hectare of narra. A hectare of kamagong will yield 10 units of pulpwood, 5 units of resin, and 6 units of lumber. A hectare of narra will yield 30 units of pulpwood, 10 units of resin and 3 units of lumber. Mr. Panes has standing order of 60 units of pulpwood, 25 units of resin and 12 units of lumber. How many hectares of narra and kamagong must be harvested to minimize cost while providing for orders? How much is the minimum cost? 2. Mr. Sanchez has just received his patronage refund amounting to P50,000. He is planning to invest the money that would earn him interest at the end of the month. His friend advised him to invest at least 60% of the money to their credit union that provides a monthly interest of 3.5% on investment and at most 20% of the money to a lending institution that provides a 4.5% monthly interest on investment. How much must he invest to the credit union and to the lending institution to maximize his monthly earnings? How much will his monthly income be?
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Related Book For
Introduction to Management Science A Modeling and Cases Studies Approach with Spreadsheets
ISBN: 978-0078024061
5th edition
Authors: Frederick S. Hillier, Mark S. Hillier
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