Answer the next TWO (2) questions using the following linear programming problem and thecorresponding graphical solution:Maxsubject toZ=30 x₁ +20 x₂2 x₁ + 2x₂ ≤88 x₁ +4x2 ≤24X₂2(constraint I)(constraint II)13. What is the upper bound of the sensitivity range for the coefficient of x₁ in the objectivefunction?a. 60b. 10c. 40d. 2014. What is the upper bound of the sensitivity range for the Right-Hand Side (RHS) ofconstraint I?a. 8b. 12c. 4d. 6

Meaning of linear programming: LP is a method used in mathematical optimization for finding the…

Answered: Answer the next TWO (2) questions using…

Understanding Business

12th Edition

ISBN:9781259929434

Author:William Nickels

Publisher:William Nickels

Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment

Section: Chapter Questions

Problem 1CE

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Based on the following sensitivity analysis, which of the following products would be considered most sensitive to changes or errors in the objective function coefficient? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 25 11 4 $B$3 Product_2 175 0 25 12 14 $B$4 Product_3 0 −1.5 25 8 5 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 multiple choice Product_1 Product_2 Product_3
Problem 2: Applications of Linear Programming: Visa Inc. Stock sells for $92 a share and has 3-year average annual return of $20 a share. The beta value is 1.06. JP Morgan Chase and Co. sells for $87 a share and has a 3-year average annual return of $17 a share. The beta value is 1.21. Derek wants to spend no more than $15,000 investing in these two stocks, but he wants to earn at least $2500 in annual revenue. Derek also wants to minimize the risk. Determine the number of shares of each stock that Derek should buy.
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).
1. Suppose the following table gives the selling prices in tens of thousands of dollars for 20 different homes sold during a month. 60.5 113.5 79.0 475.5 75.0 70.0 125.5 150.0 100.0 125.5 90.0 175.5 89.0 130.0 111.5 100.0 50.0 340.5 100.0 525.0 a) Find the mode, median and mean of the selling prices of the first two columns b) Find the range, variance and standard deviation of the selling prices of the first two columns c) Find the ninety-fifth percentile, the seventh decile, and the first quartile of the selling prices of homes by taking into consideration the whole table of values. d) Find the percentiles for the selling prices 75.0, 90, 125.5 and 340.5 by taking into consideration the whole table of values. e) Construct a boxplot of the selling prices in the table above by following the instructions below: - First, find the minimum, maximum, first quartile, median and third quartile of the data - Second, draw roughly the boxplot showing the location of each value found in the…
Multiple Choice Question 7. Which of the following is true of the U.S. age demographics? A C D E AUB The Generation Xers form the largest segment of the population. The Generation Xers are the most educated section of the population. The baby boomers are the poorest segment of the population. The Millennial generation accounts for nearly half of all the discretionary consumer spending in the U.S. The Millennials are the most financially secure segment of the population.
Donald Harris received a windfall and needs to invest it for tax reasons. He went to his brother-in-law, Joe Harris, who is a financial advisor. Joe prepared a matrix that illustrated the possible returns on investment for different investment strategies under different economic conditions. That matrix is given below. Given these values, what type of investment strategy would be selected by the Maximincriterion? Future Air Traffic Strategies Major Downturn Downturn Upturn Major Upturn Contrarian 20% 10% 5% -15% Risk Averse 2% 4% 7% 10% Growth -10% -8% 13% 20% Aggressive -25% -20% 11% 35% Group of answer choices
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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