ABC company produces two types of feeds, M1 and G2. Sorghum and corn are the two ingredients of these feeds. M1 requires one pound of sorghum while G2 requires two pounds. Also, M1 requires two pounds of corn while G2 requires one pound. There are 300,000 pounds of sorghum and 200,000 pounds of corn available per month. Due to some limitations, the company can only manufacture at most 80,000 packages per month. One package of M1 is sold at Php 280.00 while for G2, Php 200.00. Note that the cost for blending and packing is Php 2.50 per package for M1 and Php 2.00 per package for G2. Further, one pound of sorghum costs Php 2.00 while one pound of corn is more expensive by Php 3.00. The company holds that it can sell packages as much as it can produce. Formulate the LP model.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 70P
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ABC company produces two types of feeds, M1 and G2. Sorghum and corn are the two
ingredients of these feeds. M1 requires one pound of sorghum while G2 requires two pounds.
Also, M1 requires two pounds of corn while G2 requires one pound. There are 300,000 pounds
of sorghum and 200,000 pounds of corn available per month. Due to some limitations, the
company can only manufacture at most 80,000 packages per month. One package of M1 is sold
at Php 280.00 while for G2, Php 200.00. Note that the cost for blending and packing is Php
2.50 per package for M1 and Php 2.00 per package for G2. Further, one pound of sorghum costs
Php 2.00 while one pound of corn is more expensive by Php 3.00. The company holds that it
can sell packages as much as it can produce. Formulate the LP model.

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