3. Consider the following linear program:Min 8X + 12Ys.t.IX +3Y 92X+ 2Y 106X + 2Y 18XY 0Use the graphical solution procedure to find the optimal solution.b. Assume that the objective function coefficient for X changes from 8 to 6. Does theoptimal solution change? Use the graphical solution procedure to find the new optimalsolution.a.Assume that the objective function coefficient for X remains 8, but the objective func-tion coefficient for Y changes from 12 to 6. Does the optimal solution change? Use thegraphical solution procedure to find the new optimal solution.d. The sensitivity report for the linear program in part (a) provides the following objec-tive coefficient range information:C.ObjectiveCoefficientAllowableInereaseAllowableVariableDecrease8.00012.0004.00012.0004.0004.000How would this objective coelficient range information help you answer parts (b) and(C) prior to resolving the problem?

Note: - Since we can answer only up to three subparts we will answer the first three(a, b, and c)…

Answered: 3. Consider 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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3.
find the a. decision variables b. objective function c. constraints
Consider the following nonlinear program. max x(y – 2) s.t. x = 33 - 3y y 2 2 (a) (b) Derive the KKT necessary conditions for the nonlinear Solve the nonlinear program using the KKT necessary conditions. program.
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).
What are 3/6 reasons listed for failure in Six Sigma?
2. One of the recently founded restaurants has decided to offer only diet meals including gluten free and vegan meals to its customer. In its menu prepared by a dietitian, there are wide variety of diet meals together with their corresponding calories, carbohydrates and proteins (in grams). To compete in the highly competitive environment, dietitian and food engineer also works at the restaurant. For a regular diet lunch meal, one can take a dish containing at most 725 calories, 6 grams of carbohydrates and at least 23 grams of protein. Below, there are three meal options with their contents and prices. For a customer willing to pay the maximum amount of $50, formulate the model using Goal Programming considering the priority levels. Priority levels Meal Option 1 $ 27 Meal Option 2 Meal Option 3 Cost Calories (in grams) $ 25 $22 P1 420 300 235 P2 P3 Carbohydrates ( in grams) Protein (in grams) 4 3 1 11 8 12 P4
Scenario You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:
Friendly Waste Co. runs three different factories and is required by law to safely dispose of chemicals. Waste from three different factories can be processed to reduce the amount of two different types of pollutants. State law requires that the total reduction in the amount of pollutant A is at least 30 tons and pollutant B is at least 40 tons. Using the information in the following table: Factory Proc Cost Per Ton Reduction Plant A Reduction Plant B 1 15 0.1 0.45 2 10 0.2 0.25 3 20 0.4 0.3 •Algebraically formulate a linear programming model to represent this problem.

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