In the Name Of AllahDSSLab 04Solving Problems*Tahani ALdweesh

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ObjectivesUsing Excels Solver to solve LP problems.Exercise.

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Steps to solve (LP) Step 1: formulate the LP on paper Step 2: set up the problem in Excel Step 3: Add the solver add-in Step 4: Set up the Solver*Tahani ALdweesh

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Problem 1The Blendex Oil Company blends a regular and premium product from two ingredients, heptane and octane. Each liter of regular is composed of exactly 50% heptane and 50% octane. Each liter of premium is composed of exactly 40% heptane and 60% octane. During this planning period there are exactly 200,000 liters of heptane and 310,000 liters of octane available. The profit contributions per liter of the regular and premium product are $0.03 and $0.04 per liter respectively.

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Cont-The Blendex Oil Company blends a regular and premium product from two ingredients, heptane and octane.- Each liter of regular is composed of exactly :50% heptane and 50% octane.- Each liter of premium is composed of exactly: 40% heptane and 60% octane.- there are exactly: 200,000 liters of heptane and 310,000 liters of octane available. - The profit contributions per liter of the regular and premium product are: $0.03 and $0.04 per liter respectively.

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Step 1: formulate the LP on paper In this step we need to determine : 1-Decision Variables:HR = liters of heptane used to produce regular gasoline.OR = liters of octane used to produce regular gasolineHP = liters of heptane used to produce premium gasoline.OP = liters of octane used to produce premium gasoline

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2-Objective function: to maximize the total contribution from selling both types of gasoline: Max = 0.03 * (HR + OR) + 0.04 * (HP + OP)

*Tahani ALdweeshRegularPremium

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3-Constraints :A) - Each liter of regular must have exactly : 50% heptane and 50% octane: (50/100 )HR - (50/100 )OR0.5 HR 0.5 OR = 0

B)- Each liter of premium must have exactly:40% heptane and 60% octane: (40/100 )HP - (60/100 )OP0.6 HP 0.4 OP = 0

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C)- There is exactly 200,000 liters of heptane:HR + HP

Step 2: set up the problem in Excel*Tahani ALdweesh

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Decision Variable

*Tahani ALdweeshDecision Variable

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Constraints*Tahani ALdweeshHR + HP

Constraints : Cont*Tahani ALdweesh0.5 HR 0.5 OR = 0 0.6 HP 0.4 OP = 0 0.5HR0.6HP0.4OP0.5 OR0.5HR 0.5 OR0.6 HP 0.4 OP

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Max = 0.03 * (HR + OR) + 0.04 * (HP + OP)

*Tahani ALdweeshHR+OR0.04*(HP+OP)0.03*(HR+OR)HP+OPMax

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Step 3 : Add SolverTahani ALdweesh*

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SolutionTahani ALdweesh*

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Problem 2 ( Exercise )Tahani ALdweesh*How many pounds of oat and corn should be fed to each cattle per day to minimize feed cost ?

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Any QuestionTahani ALdweesh*

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