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1.15 A farmer has a choice of planting barley, oats, rice, or wheat on his 200-acre farm. The labor, water, and fertilizer requirements, yields per acre, and selling prices are given in the following table: Labor Water Fertilizer Selling price ($/lb) Туре of Yield required (m³) required cost ($) стор (Ih) (Ih) Barley Oats Rice 300 10,000 100 1,500 0.5 200 250 7,000 120 3,000 2,500 2,000 0.2 0.3 6,000 160 Wheat 360 8,000 200 0.4 The farmer can also give part or all of the land for lease, in which case he gets $200 per acre. The cost of water is $0.02/m' and the cost of the fertilizer is $2/lb. Assume that the farmer has no money to start with and can get a maximum loan of $50,000 from the land mortgage bank at an interest of 8 %. He can repay the loan after six months. The

1.15 A farmer has a choice of planting barley, oats, rice, or wheat on his 200-acre farm. The labor, water, and fertilizer requirements, yields per acre, and selling prices are given in the following table: Labor Water Fertilizer Selling price ($/lb) Туре of Yield required (m³) required cost ($) стор (Ih) (Ih) Barley Oats Rice 300 10,000 100 1,500 0.5 200 250 7,000 120 3,000 2,500 2,000 0.2 0.3 6,000 160 Wheat 360 8,000 200 0.4 The farmer can also give part or all of the land for lease, in which case he gets $200 per acre. The cost of water is $0.02/m' and the cost of the fertilizer is $2/lb. Assume that the farmer has no money to start with and can get a maximum loan of $50,000 from the land mortgage bank at an interest of 8 %. He can repay the loan after six months. The

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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1.15 A farmer has a choice of planting barley, oats, rice, or wheat on his 200-acre farm. The labor, water, and fertilizer requirements, yields per acre, and selling prices are given in the following table: Selling price ($/b) Labor Water Fertilizer Туре of cost required (m³) required (Ih) Yield ($) (Ih) crop 1,500 3,000 2,500 Barley 300 10,000 100 0.5 Oats 200 7,000 6,000 120 0.2 Rice 250 160 0.3 Wheat 360 8,000 200 2,000 0.4 The farmer can also give part or all of the land for lease, in which case he gets $200 per acre. The cost of water is $0.02/m³ and the cost of the fertilizer is $2/lb. Assume that the farmer has no money to start with and can get a maximum loan of $50,000 from the land mortgage bank at an interest of 8 %. He can repay the loan after six months. The
Transcribed Image Text:1.15 A farmer has a choice of planting barley, oats, rice, or wheat on his 200-acre farm. The labor, water, and fertilizer requirements, yields per acre, and selling prices are given in the following table: Selling price ($/b) Labor Water Fertilizer Туре of cost required (m³) required (Ih) Yield ($) (Ih) crop 1,500 3,000 2,500 Barley 300 10,000 100 0.5 Oats 200 7,000 6,000 120 0.2 Rice 250 160 0.3 Wheat 360 8,000 200 2,000 0.4 The farmer can also give part or all of the land for lease, in which case he gets $200 per acre. The cost of water is $0.02/m³ and the cost of the fertilizer is $2/lb. Assume that the farmer has no money to start with and can get a maximum loan of $50,000 from the land mortgage bank at an interest of 8 %. He can repay the loan after six months. The
irrigation canal cannot supply more than 4 x 105 m³ of water. Formulate the problem of finding the planting schedule for maximizing the expected returns of the farmer.
Transcribed Image Text:irrigation canal cannot supply more than 4 x 105 m³ of water. Formulate the problem of finding the planting schedule for maximizing the expected returns of the farmer.
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