Complete the linear programming problem. A farmer has 7 hectares of wheat and corn to plant. He only has P24, 000 to invest, and planting a hectare of wheat costs P4, 000 and planting a hectare of corn costs P2, 000. Furthermore, the farmer must complete the planting in 12 hours, with a hectare of wheat taking an hour and a hectare of corn taking two hours. How many acres of wheat and corn should he plant to optimize earnings if he earns P10,000 per hectare of wheat and P6,000 per hectare of corn?

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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C. Complete the linear programming problem.
A farmer has 7 hectares of wheat and corn to plant. He only has P24, 000 to invest, and
planting a hectare of wheat costs P4, 000 and planting a hectare of corn costs P2, 000.
Furthermore, the farmer must complete the planting in 12 hours, with a hectare of wheat
taking an hour and a hectare of corn taking two hours. How many acres of wheat and corn
should he plant to optimize earnings if he earns P10,000 per hectare of wheat and P6,000
per hectare of corn?
Transcribed Image Text:C. Complete the linear programming problem. A farmer has 7 hectares of wheat and corn to plant. He only has P24, 000 to invest, and planting a hectare of wheat costs P4, 000 and planting a hectare of corn costs P2, 000. Furthermore, the farmer must complete the planting in 12 hours, with a hectare of wheat taking an hour and a hectare of corn taking two hours. How many acres of wheat and corn should he plant to optimize earnings if he earns P10,000 per hectare of wheat and P6,000 per hectare of corn?
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