Test Bank for Chapter 4 Problem 4-1: Work through the simplex method (in algebraic form) step by step to solve the following problem. Maximize Z = x1 + 2x2 + 2x3‚ subject to 5x1 + 2x2 + 3x3 ≤ 15 x1 + 4x2 + 2x3 ≤ 12 2x1 + x3 ≤ 8 and x1 ≥ 0‚ x2 ≥ 0‚ x3 ≥ 0. Solution for Problem 4-1: We introduce x4‚ x5‚ and x6 as slack variables for the respective functional constraints. The augmented form of the problem then is Maximize Z = x1 + 2 x2 + 2 x3‚ subject to
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TAYLMC04_0131961381.QXD 4/14/09 8:33 AM Page 42 Chapter Four: Linear Programming: Modeling Examples PROBLEM SUMMARY 1. “Product mix” example 2. “Diet” example 3. “Investment” example 4. “Marketing” example 5. “Transportation” example 6. “Blend” example 7. Product mix (maximization) 8. Sensitivity analysis (4–7) 9. Diet (minimization) 10. Product mix (minimization) 11. Product mix (maximization) 12. Product mix (maximization) 13. Product mix (maximization) 14. Ingredients mix (minimization)
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Assuming‚ X1 = Yards of Fabric 1 Purchased X12 = Yards of Fabric 1 on Dobbie Looms X2 = Yards of Fabric 2 Purchased X21 = Yards of Fabric 2 on Dobbie Looms X3 = Yards of Fabric 3 Purchased X31 = Yards of Fabric 3 on Dobbie Looms X32 = Yards of Fabric 3 on Regular Looms X4 = Yards of Fabric 4 Purchased X41 = Yards of Fabric 4 on Dobbie Looms X42 = Yards of Fabric 4 on Regular Looms X5 = Yards of Fabric 5 Purchased X51 = Yards of Fabric 5 on Dobbie
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Problem 2.22: a. Formulate an LP model for this problem X1 = quantity of ornate‚ decorative wood frame doors produced X2 = quantity of windows produced Max Total Profit: 500X1+400X2 X1+0.5*X2≤40 0.5*X1+0.75*X2≤40 0.5 X1+X2≤60 X1‚ X2≥0 b. Sketch the feasible region Please refer to the graph below c. What is the optimal solution After calculations using solver in excel‚ we figure out that the max total profit available is $26‚000.00‚ when produce a mix of 20 units of doors and 40 units of windows
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É ( 3 ) MUHAMMAD ADAM BIN AHMAD MUHAMMAD ALIF DANIAL BIN AZMAN MOHD FAQRUR RAZZI BIN MD YAZID AZHANI BINTI LOKMAN FATIN NABILAH BINTI AHMAD SHUKRI Company Background Name of the business : Polka Cupcake Cafe (PC3) Address : Jalan Medan Pusat 2C‚3B Curve Business Park‚ Pusat Bandar Baru‚ Kawasan Perindustrian Bangi‚ 43650 Bandar Baru Bangi‚ Selangor. Telephone number :03- 89258462 Fax :03-89258444 Email : polka_cupecakecafe2014@yahoo.com Main activities :Make the new recipe of the cupcake
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Assignment The Advert On the final page of this document you will find the advert I have chosen for my analysis. I will mainly be using the Berlos SMCR model. The Analysis The source of this advert is mainly the Bavarian auto-maker BMW. Specifically‚ it is a division in Greece selling premium used BMW’s. Their main goal is to sell more cars‚ of course‚ but one might assume‚ that compromising the general belief that used cars are not attractive to buyers of premium cars‚ is a secondary
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IE181 Quiz 1 – Model Formulation Formulate the following problems. 1. A trade magazine reports the rated exposure (people/month/peso advertising outlay) for each of five media: TV‚ radio‚ magazines‚ newspapers and outdoor advertising as 22‚ 12‚ 15‚ 10 and 5‚ respectively. The advertising company wants to develop an optimal media mix restricted to the following conditions: a. The total advertising budget is P1 million. b. No more than 50% of the budget is to be expended
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SIA SWOT TOWS SFA STUDIES Strength Young Fleet Geographical diversification Strong Brand reputation Self-sustainable business model Bold and prudent management Highly competitive human resource Effective distribution channel – CRS - ABACUS Weakness No government subsidies Short of route network Too much service classification and pricey Opportunity Open Skies – government agreement between countries‚ bilateral or multilateral Strategic alliance Growth of air passenger service
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An Example of Two Phase Simplex Method Consider the following LP problem. max z = 2x1 + 3x2 + x3 s.t. x1 + x2 + x3 · 40 2x1 + x2 ¡ x3 ¸ 10 ¡x2 + x3 ¸ 10 x1; x2; x3 ¸ 0 It can be transformed into the standard form by introducing 3 slack variables x4‚ x5 and x6. max z = 2x1 + 3x2 + x3 s.t. x1 + x2 + x3 + x4 = 40 2x1 + x2 ¡ x3 ¡ x5 = 10 ¡x2 + x3 ¡ x6 = 10 x1; x2; x3; x4; x5; x6 ¸ 0 There is no obvious initial basic feasible solution‚ and it is not even known whether there exists one
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Valentine Silliness Secret Valentine Messages Multiplication Grades 3 - 4 Table of Contents 1. YOU ARE TOADALLY AWESOME………………………………………………………. x 1 2. I AM HOOKED ON YOU………………………………………………………………………… x 2 3. I WHEELIE LIKE YOU………………………………………………………………………… x 3 4. YOU MOOVE ME……………………………………………………………………………………… x 4 5. YOU QUACK ME UP………………………………………………………………………………. x 5 6. YOU ARE THE APPLE OF MY EYE………………………………………………….. x 6 7. YOU ARE JUST WRITE……………………………………………………………..……… x 7 8. YOU TAKE THE CAKE……………………………
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