Drew is a farmer from Bulacan who plants palay and corn in his 12 hectares of land. Every planting season he has to plant at least 10 hectares. His budget for a planting season is Php 120,000.00 and each hectare of palay and corn will cost him Php 20,000.00 and Php 10,000.00 respectively. Moreover, he has to finish his planting in 12 hours and it will take him 2 hours to plant a hectare of palay and 3 hours to plant a hectare of corn. The profit for planting a hectare of palay is Php 25,000.00 and the profit for planting a hectare of corn is Php15,000.00. Determine the best combination of planting crops that Drew must follow to maximize his profit. Formulate an LP model for this problem and determine the optimal solution using graphical method.
Drew is a farmer from Bulacan who plants palay and corn in his 12 hectares of land. Every planting season he has to plant at least 10 hectares. His budget for a planting season is Php 120,000.00 and each hectare of palay and corn will cost him Php 20,000.00 and Php 10,000.00 respectively. Moreover, he has to finish his planting in 12 hours and it will take him 2 hours to plant a hectare of palay and 3 hours to plant a hectare of corn. The profit for planting a hectare of palay is Php 25,000.00 and the profit for planting a hectare of corn is Php15,000.00. Determine the best combination of planting crops that Drew must follow to maximize his profit. Formulate an LP model for this problem and determine the optimal solution using graphical method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Drew is a farmer from Bulacan who plants palay and corn in his 12 hectares of land.
Every planting season he has to plant at least 10 hectares. His budget for a planting
season is Php 120,000.00 and each hectare of palay and corn will cost him Php 20,000.00
and Php 10,000.00 respectively. Moreover, he has to finish his planting in 12 hours
and it will take him 2 hours to plant a hectare of palay and 3 hours to plant a hectare
of corn. The profit for planting a hectare of palay is Php 25,000.00 and the profit for
planting a hectare of corn is Php15,000.00. Determine the best combination of planting
crops that Drew must follow to maximize his profit. Formulate an LP model for
this problem and determine the optimal solution using graphical method.
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