Each product requires 10 hours of processing time on line 1‚ while on line 2‚ product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit‚ and the profit for product 2 is $4 per unit. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis. 6) The Pinewood Furniture Company produces chairs and tables from two resources-labor and wood. The company has 80 hours of labor and 36 pounds of wood available
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| MERTON TRUCK | Memorandum To: President From: Date: ------------------------------------------------- Re: Merton Truck Company Introduction In response to your report and request regarding Merton’s financial performance and product mix‚ I have met with your controller‚ sales manager and production manager‚ and have provided a solution that will improve the company in these two areas. Using a systematic approach‚ I was able to analyze the current machine hours‚ standard costs‚ and
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(units) 1 1500 2 1500 3 1000 Product Machine A B C 1 $1.00 $1.20 $0.90 2 $1.30 $1.40 $1.20 3 $1.10 $1.00 $1.20 Use the transportation model to develop the minimum-cost production schedule for the products and machines. Show the linear programming formulation. 2. Scott and Associates‚ Inc. is a consulting firm that has 4 new clients. Based on different background and experiences of the leaders‚ the various leader-client assignments differ in terms of projected completion times. The
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CHAPTER 2 An Introduction to Linear Programming 21 KEY CONCEPTS ILLUSTRATED ANSWERED CONCEPT PROBLEMS PROBLEMS Formulation 7‚8 15‚16 Minimization 2‚5 9‚10‚15 Standard Form
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between regular customers and new customers so that the total number of customers contacted during the two-week period will be maximized. A technician can contact on average 1.2 regular customers per hour and 1 new customer per hour. Develop a linear programming model that will enable HTS to allocate technician time between regular customers and new customers. Report the optimal solution. Management of High Tech Services (HTS) would like to develop a model that will help allocate its technician’s
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Research. Briefly explain the techniques and tools of Operations Research. Operations Research Methodology 10 Techniques and tools of Operations Research 2 Explain the steps involved in linear programming problem formulation with an example. Discuss in brief the advantages of linear programming. Q1 : Discuss the various stages involved in the methodology of Operations Research. Briefly explain the techniques and tools of Operations Research. 1. Operations Research Methodology 2. Techniques
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+ $8D Z = $2L + $1D Z = $2L + $2D 6.____________solutions are ones that satisfy all the constraints simultaneously. alternate feasible Infeasible Optimal Unbounded 7. When using linear programming model to solve the “diet” problem‚ the objective is generally to maximize profit. True False 8. A constraint for a linear
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giving step-wise information about the methodology and solution. TORA tutorial software deals with the following algorithms: •Solution of simultaneous linear equations •Linear programming •Transportation model •Integer programming •Network models •Project analysis by CPM/PERT •Poisson queuing models •Zero-sum games The software provides a number
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spaces‚ each of which is defined by a linear inequality. 2) What is an infeasible solution? How is this condition recognized in simplex method? A infeasible solution is one that does not satisfies all linear and non-linear constraints. When the solution is along with the artificial variable even when the aolution is optimized then its is a infeasible solution 3) What is an unbounded solution? How is this condition recognized in simplex method? A linear program is unbounded if the optimal
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easily connect to existing libraries. That is why optimization is an important and practical topic in Scilab‚ which provides tools to solve linear and nonlinear optimization problems by a large collection of tools. Overview of the industrial-grade solvers available in Scilab and the type of optimization problems which can be solved by Scilab. Objective Linear Bounds y Equality l Inequalities l Problem size m m l l y Nonlinear s Gradient needed y n Solver linpro quapro qld qpsolve optim neldermead
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