They want to maximize profit. Formulate a linear programming model A refinery produces three grades (A, B, C) of gasolines from three different sources of crude oil (I, II, II). Any crude oil can be used to produce any of the gasolines as long as the specifications in the following table are met. Grade of gasoline Specifications Not less than 50% crude I, Selling price/gallon $1.39 not more than 30% crude II Not less than 35% crude I, not more than 45% crude II Not more than 20% crude III $1.24 $1.18 The maximum amount of crude oil available per period and their costs are Crude I: 10,000 gallons, $1.10 cost/gallon Crude II: 9,000 gallons, $0.84 cost/gallon Crude III: 3,000 gallons, $0.90 cost/gallon
They want to maximize profit. Formulate a linear programming model A refinery produces three grades (A, B, C) of gasolines from three different sources of crude oil (I, II, II). Any crude oil can be used to produce any of the gasolines as long as the specifications in the following table are met. Grade of gasoline Specifications Not less than 50% crude I, Selling price/gallon $1.39 not more than 30% crude II Not less than 35% crude I, not more than 45% crude II Not more than 20% crude III $1.24 $1.18 The maximum amount of crude oil available per period and their costs are Crude I: 10,000 gallons, $1.10 cost/gallon Crude II: 9,000 gallons, $0.84 cost/gallon Crude III: 3,000 gallons, $0.90 cost/gallon
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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