Find the Range of Optimality for c, and c2 of the following LPP.C₁Max z = 5x₁ + 10x2as.t.,2x₁ + 3x₂ < 2592+ 2x₂≤35andX1, X₂ ≥ 0

Objective Functions and Constraints: Based on the given details, the objective…

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Practical Management Science

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ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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

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Graph the feasible region for the system of inequalities. 4x+y≤3 x-y>3
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2 Vidhya Balan is planning to liquidate her investments inmutual funds and invest in real estate. Before makingthe change to her investment strategy, Vidhya wants toforecast the price of mutual funds for the next 2 months.She has collected the following data on the average fundprices for the past 10 months.Month Average Fund Price1 55.12 53.83 53.44 52.955 52.156 52.757 52.658 51.59 52.2510 51.7a Using a five-period moving average, forecast theaverage fund price for Period 11.b. Using exponential smoothing with α = 0.3 forecastthe average fund price for Period 11. Assume an initialforecast for Month 2 (F2) as 55.10
2 Vidhya Balan is planning to liquidate her investments in mutual funds and invest in real estate. Before making the change to her investment strategy, Vidhya wants to forecast the price of mutual funds for the next 2 months. She has collected the following data on the average fund prices for the past 10 months. Average Month Fund Price 1. 55.1 53.8 3 53.4 4 52.95 5 52.15 6. 52.75 7 52.65 8 51.5 9. 52.25 10 51.7 Using a five-period moving average, forecast the a average fund price for Period 11. b. |Using exponential smoothing with a = 0.3 forecast the average fund price for Period 11. Assume an initial forecast for Month 2 (F2) as 55.10
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.

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Find the Range of Optimality for c, and c2 of the following LPP. C₁ C₂ Max z = 5x₁ + 10x2 92 s.t., 2x + 3x₂ < 25 92 a x₁ + 2x₂ ≤35 and X1, X₂ ≥ 0