1. Given the following linear programming model:Minimize Z = 480x1 + 160x2subject toX1 + X2 >= 40X1 + 4x2 >= 603x1 + X2 >= 60X1 >= 0, x2 >= 0a. Solve the LP model graphically and explain the solutionresult.b. Develop a spreadsheet model and solve using ExcelSolver. What is the optimal solution?

MIN zx = 480 x1 + 160 x2 subject to x1 + x2 ≥ 40 x1 + 4 x2 ≥ 60 3 x1 +…

Answered: 1. Given the following linear…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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L.P. Model: Maximize Z= 8X+2Y Subject to: 1X+2Y≤6 (C1) 5X+1Y≤20 (C2) X,Y≥0 On the graph on right, the constraints C1 and C2 have been plotted. Using the point drawing tool, plot the four corner points for the feasible area. The optimum solution is: X = (round your response to two decimal places). Y = (round your response to two decimal places). Optimal solution value Z = (round your response to two decimal places).
Consider the following problem. Maximize Subject to Solving Linear Programming Problems: Graphical and The Simp Solution 2x₁ + x₂ ≤ 6 x₁ + 2x₂ ≤ 6 X1, X₂ ≥ 0 Z = 3x₁ + 2x₂ a. Use the graphical method to solve this problem. b. Use the tabular simplex method to solve this problem. a. Graphical Method
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 = 123 L+ 139 S 18 L 11 S≤ 3000 5 L+9 S≤2500 L≥ 0 and S≥ 0 (Availability of component A) (Availability of component B) Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce LaserStop models and possible profit, SpeedBuster models. This solution gives the which is $ (Type integers or decimals…
Using Excel Solve the following LP Maximize $4x + $5y Subject to 2x + 3y ≤ 20 (labor, in hours) 6x + 6y ≤ 36 (materials, in pounds) 4x + 4y ≤ 40 (storage, in square feet) x, y ≥ 0 a) Write the original optimal solution and objective function value. b) What is the optimal solution and objective function value if you acquire 2 additional pounds of material? c) What is the optimal solution and objective function value if you acquire 1.5 additional hours of labor?
Don't Hand writing in solution.
Solve Using Excel solver in Linear Optimization Problems. Must present the excel solver output including (answer report sensitivity report and limits report) 1. A calculator company produces two models of calculators at two different factories. Factory A can produce 130 scientific calculators and 25 graphing calculators per day. Factory B can produce 70 scientific and 90 graphing calculators per day. It cost $1200 per day to operate Factory A and $900 per day to operate Factory B. If the company needs to produce 460 scientific calculators and 340 graphing calculators for a big order, find the minimum cost to produce the order.(please help)
4a) Convert the following problem to Standard Form. max z := -2x1 + x2 s.t. 2x1 + x2 1 x1 > 0, x2 free. 4b) Write the augmented form of the following standard form problem. max z := 4.x1 – 25x2 x1,x2,x3,x4 s.t. x1 – x3 = 5 X2 – x3 + x4 = 0 x > 0
Answer the next TWO (2) questions using the following linear programming problem and the corresponding graphical solution: Max subject to Z=30 x₁ +20 x₂ 2 x₁ + 2x₂ ≤8 8 x₁ +4x2 ≤24 X₂ 2 (constraint I) (constraint II) 13. What is the upper bound of the sensitivity range for the coefficient of x₁ in the objective function? a. 60 b. 10 c. 40 d. 20 14. What is the upper bound of the sensitivity range for the Right-Hand Side (RHS) of constraint I? a. 8 b. 12 c. 4 d. 6
1. Write a linear program for the problem. 2. What is the optimal production mix among different coffee varieties and the profit associated with it? 3. What should be the per bag profit of Tarrazu which will make it beneficial to produce this variety? 4. One Cup is considering increasing the weekly bags to 150. If it costs One Cup $3.00 per bag to procure beans of any variety. Conduct sensitivity analysis and determine if One Cup should consider increasing the per week production. 5. Identify the range over which per bag profit of Sumatra and Kona may vary and still retain the current production plan as optimal for One Cup. 6. Once roasted the coffee beans must be preserved properly. To ensure that, One Cup Coffee is considering investing in a vacuum packaging machine for 24 hours/ week. It takes 10, 15 and 10 minutes to pack a bag of Sumatra, Kona and Tarazzu respectively. Identify if the current production plan will suit the installation of the new packaging scheme.
Variable Cells Model Variable Constraints E S D Constraint Number 1 E 2 3 S D S D Name Economy Models Standard Models Deluxe Models Name Total Profit: $ Fan Motors Cooling Coils Manufacturing Time Optimal Solution Constraints Fan motors Cooling coils Final Value 80.000 120.000 0.000 Final Value 200.000 320.000 2080.000 a. Identify the range of optimality for each objective function coefficient. If there is no lower or upper limit, then enter the text "NA" as your answer. If required, round your answers to one decimal place. Objective Coefficient Range Variable lower limit upper limit E Reduced Cost 0.000 0.000 -24.000 Manufacturing time. AUTO Shadow Price 31.000 32.000 0.000 Right-Hand-Side-Range lower limit upper limit Objective Coefficient 63.000 95.000 135.000 b. Suppose the profit for the economy model is increased by $6 per unit, the profit for the standard model is decreased by $2 per unit, and the profit for the deluxe model is increased by $4 per unit. What will the new optimal…

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