A farmer has 60 hectares of farm on which to plant rice and corn . The rice needs 4 units of insecticides and 2 units of fertilizers per hectare, while corn requires 3 units of insecticide and 6 units of fertilizers. He has at least 90 units of insecticides and at least 150 units of fertilizers available. His average profit per hectare on rice is P16,000 and P14,000 on corn. Suppose the farmer wants to know the number of hectares of each crop should he plant to maximize his average profit. Let that x be the number of hectares of rice and y be the number of hectares of corn. Which of the following is the objective function for this problem? a. Maximize z = 14,000x + 16,000y b. Maximize z = 16,000x + 14,000y c. Maximize z = 60x + 150y d. Maximize z = 60x + 90y
A farmer has 60 hectares of farm on which to plant rice and corn . The rice needs 4 units of insecticides and 2 units of fertilizers per hectare, while corn requires 3 units of insecticide and 6 units of fertilizers. He has at least 90 units of insecticides and at least 150 units of fertilizers available. His average profit per hectare on rice is P16,000 and P14,000 on corn. Suppose the farmer wants to know the number of hectares of each crop should he plant to maximize his average profit. Let that x be the number of hectares of rice and y be the number of hectares of corn. Which of the following is the objective function for this problem? a. Maximize z = 14,000x + 16,000y b. Maximize z = 16,000x + 14,000y c. Maximize z = 60x + 150y d. Maximize z = 60x + 90y
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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*A farmer has 60 hectares of farm on which to plant rice and corn . The rice needs 4 units of insecticides and 2 units of fertilizers per hectare, while corn requires 3 units of insecticide and 6 units of fertilizers. He has at least 90 units of insecticides and at least 150 units of fertilizers available. His average profit per hectare on rice is P16,000 and P14,000 on corn. Suppose the farmer wants to know the number of hectares of each crop should he plant to maximize his average profit.
Let that x be the number of hectares of rice and y be the number of hectares of corn. Which of the following is the objective function for this problem?
a. Maximize z = 14,000x + 16,000y
b. Maximize z = 16,000x + 14,000y
c. Maximize z = 60x + 150y
d. Maximize z = 60x + 90y
b. Maximize z = 16,000x + 14,000y
c. Maximize z = 60x + 150y
d. Maximize z = 60x + 90y
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