Valencia Products makes automobile radar detectors and assembles two models LaserStop and SpeedBuster Both models use the same electronic components Atter reviewing the components required and the profit for eac firm found the following linear optimization model for profit, where Lis the number of LaserStop models produced and S is the number of SpeedBuster models produced Implement the linear optimization model on a spreadshe Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints, and verity the values of the slack variables. Maximize Profit = 123 L+ 134 S 19 L+ 13 S3000 6L +9Ss 2500 L20 and S20 (Availability of component A) (Availability of component B) Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. LaserStop models and SpeedBuster models This solution gives the V possible profit, which is $ The optimal solution is to produce (Type integers or decimals rounded to two decimal places as needed.)

Valencia Products makes automobile radar detectors and assembles two models LaserStop and SpeedBuster Both models use the same electronic components Atter reviewing the components required and the profit for eac firm found the following linear optimization model for profit, where Lis the number of LaserStop models produced and S is the number of SpeedBuster models produced Implement the linear optimization model on a spreadshe Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints, and verity the values of the slack variables. Maximize Profit = 123 L+ 134 S 19 L+ 13 S3000 6L +9Ss 2500 L20 and S20 (Availability of component A) (Availability of component B) Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. LaserStop models and SpeedBuster models This solution gives the V possible profit, which is $ The optimal solution is to produce (Type integers or decimals rounded to two decimal places as needed.)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.5: Set-covering And Location-assignment Models

Problem 34P

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Valencia Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. Implement the linear optimization model on a spreadsheet and use Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints, and verify the values of the slack variables. Maximize Profit = 123L+139S 17 L+11 S≤5000 (Availability of component A) 5L+9S≤4500 (Availability of component B) L≥0 and S≥0 Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce _ LaserStop models and _ SpeedBuster models. This…
Valencia products makes automobile radar detectors and assembles two models. Laser stop and Speedbuster both models use the same electronic components after reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of Speedbuster models produced. Implement the linear optimization model on a spreadsheet and use. Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints and verify the values of the slack variables . Maximize profit = 123 L + 139 S 19 L + 11 S < 4,000 (availability of component A) 6 L + 9 S < 35000 (availability of component B) L > 0 and S > 0 The optimal solution is to produce how many Laser stop models ? And how many Speedbuster models ? The maximum possible profit is ? Component A is or is not a binding…
Company aims to determine the optimal number of products to be produced in order to maximize the total profit. a) Formulate the problem using algebraic method. b) Solve the model using the graphical method (indicate optimal solution and profit). C) again). Use graphical method to determine the shadow price for each of these resources (based on the definition of shadow price and by increasing each resource by one unit and solving the problem d) Use the Excel solver to do parts b and c. e) follow: Using Solver Table generate the optimal solution and the total profit for each resource as e1: Consider unit profit for product 1 (use range from 0 to 4 and increment of 1) e2: Consider unit profit for product 2 (use range from 0 to 4 and increment of 1) е3: Consider simultaneous changes for both unit profits in part e1 and e2 using given ranges. e4: Consider available resource of Raw material 1 (use range from 2 to 14 and increment of 1) e5: Consider available resource of Raw material 2 (use…
A manufacturer produces two types of calculator; each requiring material and labour as shown below: Input Scientific Calculator Graphic Calculator Availability Labour (hrs) 4 5 200 Inspection time 2 1 80 Material (cm2) 10 12 600 PROFIT $200 $300 Write the objective function and he constraints Diagram the constraint and identify the feasible region Using the corner point method, identify the production level that meets the objective of maximum profit
Consider the following linear programming model: maximize Z = 3x1 + 2x2 subject to : x1 +x2 ≤ 1 x1 + x2 ≥ 2 x1,x2 ≥ 0 a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.)b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.
FiberTech makes newsprint for newspapers at three mills, A,B, and C. Th e cost of producing newsprint is estimated to be $210 atmill A, $225 at B, and $220 at C. Five primary geographical marketsare served from these mills. Th e monthly demand at each market,the shipping cost (per ton) between each mill and market, and themonthly production capacity of each mill are given in the table FiberTech would like to assign production responsibilities tothe mills, and also specify how much should be shipped fromeach plant to each market, so as to minimize total production anddistribution costs.(a) Formulate an LP to minimize total production anddistribution costs.(b) Set up and solve the problem on a spreadsheet.(c) What is the optimal solution? Explain the rationale for thesolution.
Instructions: Solve using Excel Solver. Create the linear programming model and get the optimal solution to the problem. (Follow the steps and format in the photo below) 1. A company manufactures two products X1 and X2 on three machines A, B, and C. X1 requires 1 hour on machine A and 1hour on machine B and yields a revenue of Php 30. Product X2 requires 2 hours on machine A and 1 hour on machine B and 1 hour on machine C and yields revenue of PhP 50. In the coming planning period the available time of three machines A, B, and C are 2000 hours, 1500 hours and 600 hours respectively. Find the optimal product mix.
Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pen...Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens are given below.Fliptop Model Tiptop Model AvailablePlastic 3 4 36Ink Assembly 5 4 40Molding Time 5 2 30The profit for either model is $1000 per lot.What is the linear programming model for this problem?What are the boundary points of the feasible region?What is the profitability at each boundary point of the feasible region?Find the optimal solution.
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Each assembly line operates a maximum of 10 hours per day. The profit eamed for each MPV car sale is $200 and $300 for the city car. Determine the time allocation for each assembly line so that maximum profit. a. Determine the criteria variables, decision variables, b. Formulate the objective function and the constraint function. c. Solve with the graphical method.
The company produces navels at three plants, which can be delivered directly to the two customersor it can first be shipped to the two warehouses and then to the customers. Shipments between plantsare allowed. This also applies to between warehouses and between customers.The cost of producing the navels is the same at each plant; as a result, the company is only concernedwith minimising the total shipping cost incurred in meeting customer demands. The productioncapacity of each plant (in tons per year) and the customer demand are summarised in the table below: Plant Capacity Plant 1 400 Plant 2 375 Plant 3 350 Customer Demand Customer 1 500 Customer 2 450 The cost (in thousands of dollars) of shipping a ton of the product between each pair of locations islisted in the table below where a blank indicates that the company cannot ship on that route:From node To node Plant 1 Plant…