(a) Develop an opportunity loss table. (b) What is the minimax regret decision?
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- May I have the linear programming graph (or model) or plot with the given following information? 3 variables and 8 contraints Objective - Zmax = 1.85R+2.1D+2.15H Constraints: 0.15R + 0.2D + 0.25H ≤ 6000 0.25R + 0.2D + 0.15H ≤ 7500 0.25R + 0.2D + 0.15H ≤ 7500 0.10R + 0.2D + 0.25H ≤ 6000 0.25R + 0.2D + 0.20H ≤ 7500 R ≥ 10000 D ≥ 3000 H ≥ 5000For a table manufacturing company, selling price for a table is $183.00 per Unit, Variable cost is $25.00 per Unit, rent is $3,380.00 per month and insurance is $296.00 per month. Company wants to expand its business and improve the table quality, it wants to increase the selling price for a table to $254.00 per Unit, Variable cost to $43.00 per Unit, bigger area will have rent $5,235.00 per month and insurance is $362.00 per month At what point will the company be indifferent between the current mode of operation and the new option?#28Even though independent gasoline stations have been having a difficult time, Susan Solomon hasbeen thinking about starting her own independent gasoline station. Susan’s problem is to decide howlarge her station should be. The annual returns will depend on both the size of her station and a numberof marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susandeveloped the following table: GOOD FAIR POORSIZE OF MARKET MARKET MARKETFIRST STATION ($) ($) ($)Small 50,000 20,000 –10,000Medium 80,000 30,000 –20,000Large 100,000 30,000 –40,000Very large 300,000 25,000 –160,000For example, if Susan constructs a…
- Consider a small Oil production firm with 5 competing oil production projects, A - E. The table below shows the estimated long-term profit (Net Present Value) for each project as well as the amount of investment capital required to start the project. You have been contacted to help select the best combination of projects to maximize the Net Present Value subject to the capital investment limit of $32 million. Production Project A B C D E Estimated Profit (millions) 25 20 19 28 21 Capital Required (millions) 11 8 14 19 13 Formulate a Binary Integer Programming (BIP) model on a spreadsheet. Solver the model using Solver.Maximize z= 5R+8P Subject to R+3/2P≤900 1/2R+1/3P≤300 1/8R+1/4P≤100 R,P ≥ 0 non-binding constraint: R+(3/2) P≤900 binding constraints: (1/8) R+(1/4) P≤100 and (1/2) R+(1/3) P≤300 redundant constraint R+(3/2) P≤900 1. What is the range of the coeficient, c1, of the decision variable R that will make the optimal solution remain unchange? a. 13/3≤c1≤7 b. 10/3≤c1≤10 c. 4≤c1≤12 d. 13/2≤c1≤19/2 2. What is the range of the coeficient, c2, of the decision variable P that will make the optimal solution remain unchange? a. 13/3≤c1≤7 b. 10/3≤c1≤10 c. 4≤c1≤12 d. 13/2≤c1≤19/2Type the linear program, optimal solution, and objective function value in a word document. Submit your excel file. An investor wishes to invest some or all of his $12.5 million in a diversified portfolio through a commercial lender. The types of investments, the expected interest per year, and the maximum allowed percentage investment he will consider are shown on the following table. He wants at least 35% of his investments to be in nonmortgage instruments and no more than 60% to be in high-yield (and high-risk) instruments (i.e., expected interest > 8%). How should his investment be diversified to make the most interest income? Investment Expected Return Maximum Allowed Low-income mortgage loans 6.50% 20% Conventional mortgage loans 6.00% 30% Government sponsored mortgage loans 8.25% 25% Bond investments 5.75% 15% Stock investments 8.75% 18% Futures trading 9.25% 10%
- Compute the objective function value for the following problem: Min 30X + 150Y subject to : 2X>=0 ;2X + 10Y = 20; X+Y>=0 a. 0 b. 54 c. infeasible d. 300 e. unboundedFour proposals are being considered with investment and NPW shown below. C can only beconsidered if B is implemented. B and D and E are mutually exclusive. The budget is $80.A B C D EInvestment $10 $20 $30 $40 $50NPW $34 $28 $20 $16 $32a) Formulate this as a 0-1 integer program (objective function and constraints).b) Use trial and error to find all feasible solutions, and indicate which is optimal.c) Set up this problem in Excel, and use Solver to find the same optimal solutionGiven the linear program Max 3x+4y S.T. -x+2y</=8 x+2y</=12 2x+y</= 16 x,y>/=0 A. Write the problem in standard form. Identify slack/surplus variables. B. Find all the extreme points. List the value for x and y at each extreme point. C. What is the optimal solution? D. What are the values of the slack/surplus variables at the optimal solution?
- [6] Please carefully read the following scenario:(Image attached)The total number of decision variables in this problem is:A. 5B. 3C. 4D. 2 [7] The total number of constraints in this problem, including non-negativity constraints is: A. 9 B. 5 C. 3D. 7A goldsmith makes two types of jewelry. A model A ring is made with 1 g of gold and 1.5 g of silver and sells for 25 UM.Another model B ring sells for 30 UM and is made of 1.5 g of gold and 1 g of silver. If you only have 750 gof each metal, how many rings should be made of each type to obtain maximum profit?Requested:- Make Initial Table of the problem.- Obtain the Case Variables- Obtain the Objective Function- Get Restrictions- Create the Simplex Table- Obtain the Optimal Solution and the Slack Variables.Solve this operational research exercise.What combination of x and y will yield the optimum for this problem? Maximize $10x + $4y, subject to (1) 5x + 3y ≤ 15 and (2) 3x + 6y ≤ 18 and (3) x, y ≥ 0.