Formulate a linear programming problem that can be used to solve the following question. Farmer Green has 20 acres available to plant maroon and orange carrots. Each acre of maroon carrots will yield 2 tons of carrots and each acre of orange carrots will yield 4 tons of carrots. He wants to have at least four times as many tons of maroon carrots as he does of orange carrots. The profit for maroon carrots is $170 per ton and the profit for orange carrots is $90 per ton. How many acres of each type of carrots should Farmer Green plant to maximize his profit? x = number of acres of maroon carrots planted y number of acres of orange carrots planted ---Select--- F= Subject to (objective function) (acres planted) (ratio) x ---Select--- 0, y ---Select-- 0 (nonnegativity constraint)
Formulate a linear programming problem that can be used to solve the following question. Farmer Green has 20 acres available to plant maroon and orange carrots. Each acre of maroon carrots will yield 2 tons of carrots and each acre of orange carrots will yield 4 tons of carrots. He wants to have at least four times as many tons of maroon carrots as he does of orange carrots. The profit for maroon carrots is $170 per ton and the profit for orange carrots is $90 per ton. How many acres of each type of carrots should Farmer Green plant to maximize his profit? x = number of acres of maroon carrots planted y number of acres of orange carrots planted ---Select--- F= Subject to (objective function) (acres planted) (ratio) x ---Select--- 0, y ---Select-- 0 (nonnegativity constraint)
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:Formulate a linear programming problem that can be used to solve the following question.
Farmer Green has 20 acres available to plant maroon and orange carrots. Each acre of maroon carrots will yield 2 tons of carrots and each acre of orange carrots will yield 4 tons of carrots. He wants
to have at least four times as many tons of maroon carrots as he does of orange carrots. The profit for maroon carrots is $170 per ton and the profit for orange carrots is $90 per ton. How many acres
of each type of carrots should Farmer Green plant to maximize his profit?
x = number of acres of maroon carrots planted
y = number of acres of orange carrots planted
---Select---|F=
Subject to
(objective function)
(acres planted)
(ratio)
x ---Select--- 0, y ---Select--- 0 (nonnegativity constraint)
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