COURSE SUBJECT: ENGINEERING MANAGEMENT

5. LINEAR PROGRAMMING. A certain farm has two kinds of fruit-bearing trees, namely: MANGO and GUYABANO. The farm owner employed eight farmers who were going to help each other in order to harvest and pack the said fruits. The farmer owner assigned 5 farmers for harvesting the fruits and 3 farmers to do the packing. Harvesting a bag of mango takes 4 hours while a bag of guyabano takes 2 hours. On the other hand, packing a bag of mango takes 2 hours while a bag of guyabano takes 3 hours. Each of the farmers worked 8 hours a day. Selling these two kinds of fruits in the market, provide the following information; the mango is sold at P50 per bag while guyabano is sold at P80 per bag. The farm owner would like to maximize the profit for the day. Using linear programming, determine how many bags of mango and how many bags of guyabano were to be sold in the market in a day in order to maximize the profit. In line with your answer on the number of bags to be sold in the market, compute for the profit. Thus, your answer will be the number of bags of mango, the number of bags of guyabano, and the profit. Select the best answer from the choices enumerated below. Use mathematical method to solve the problem. The correct answer is... a) 9 bags of mango, 2 bags of guyabano, with profit of P610 b) 10 bags of mango, 2 bags of guyabano, with profit of P660 c) 8 bags of mango, 4 bags of guyabano, with profit of P720 d) none of the above