facilities for drone production. The table below shows the potential profits/losses for each decision alternative in each of 4 market conditions (states of nature). Note that the numbers in red (with a minus sign) are losses. NOTE: I have provided some extra columns and rows for your computations. NOTE THAT THE OBJECTIVE IS TO MAXIMIZE PROFIT. STATES OF NATURE FOR POTENTIAL MARKETS FOR DRONES DECISION ALTERNATIVES EXCELLENT GOOD POOR FAIR OPEN 2 NEW PLANTS FOR $600,000 |$400,000 $200,000 $500,000 PRODUCTION OPEN 1 NEW PLANT FOR $500,000 |$200,000 $100,000 $300,000 PRODUCTION EXPAND CURRENT |S75,000 | $100,000 $150,000 PLANT DO NOTHING $0 so
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- A 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.Airway (a Midwestern department store chain) andCorvett (an Eastern department store chain) are determiningwhether to expand their geographical bases. The only viablemanner by which expansion might be carried out is for achain to open stores in the other’s area. If neither chainexpands, then Airway’s profits will be $3 million andCorvett’s will be $2 million. If Airway expands and Corvettdoes not, then Airway’s profits will be $5 million, andCorvett will lose $2 million. If Airway does not expand andCorvett does, Airway will lose $1 million, and Corvett willearn $4 million. Finally, if both chains expand, Airway willearn $1 million and Corvett will earn $500,000 in profits.Determine the equilibrium points, if any, for this game.Chapter 6. Solve the following Linear Program using the Solver method and answer the questions given below (round to two decimal places): Maximize 12A + 15B s.t. 3A + 7B <= 250 5A + 2B <= 200 B <= 25 A, B >= 0 a. The optimal value of A is 31.03 and the optimal value of B is 22.41. b. The maximized function yields a solution of 708.62. Chapter 7. For the problem you solved in Q1, obtain the Sensitivity Report, and answer the following questions. Remember to round to two digits and you can enter “infinity” for unlimited regions: The range for Variable A is from ????? to ????? The range for Variable B is from ????? to ????? The range for Constraint 1 is from ????? to ????? The range for Constraint 2 is from ????? to ????? The range for Constraint 3 is from ????? to ?????
- If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.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 $32 million. Production Project A B C D E Estimated Profit (millions) 25 20 19 28 21 Capital Required (millions) 11 8 14 19 13 Formulate a Binary Integer Programming (BIP) model on a spreadsheet. Solver the model using Solver.#28Even though independent gasoline stations have been having a difficult time, Susan Solomon hasbeen thinking about starting her own independent gasoline station. Susan’s problem is to decide howlarge her station should be. The annual returns will depend on both the size of her station and a numberof marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susandeveloped the following table: GOOD FAIR POORSIZE OF MARKET MARKET MARKETFIRST STATION ($) ($) ($)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…
- Four 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 solutionBrandon is considering expansion of a store. If he expands, the interest rate at which he borrows the money is the important factor. He is not sure what kind of interest rate will be obtained. If he does not expand, the only factor influencing the outcome is future economy. The following table summarizes the situation: Probabilities Payoff Expand Large Favorable interest .3 $60k Neutral interest .5 $30k Unfavorable interest .2 ‑$70k Expand Small Favorable interest .3 $50k Neutral interest .5 $30k Unfavorable interest .2 ‑$30k Do not expand…As a young Graduate who has been employed by Kyekyewere Limited who operates four different types of Businesses in four different industries as follows:a) Cash Cowb) Starc) Question Mark / Problem child andd) DogsWith the knowledge skills and competencies that you have acquired as a Graduate who studied Management of Small and Medium Enterprise Advise Management about these Investment Portfolios in the various industry (s). Your advice should cover the followinga) Explain to Management what Cash cow, Star , Question mark and Dogs industries represent.b) Advise Management on which firm(s) demand further investment and why? c) Advise Management on which firm(s) to close down and why?
- 2. Analyze the situation and answer the following questions. Ed and Barbara Bonneau started their wholesale sunglass distribution firm 30 years ago with $1,000 of their own money and $5,000 borrowed from a country banker in Ed’s hometown. The firm grew quickly, selling sunglasses and reading glasses to such companies as Wal-Mart, Eckerd Drugs, and Phar-Mor. In addition, the Bonneaus enjoyed using the company to do good things. For example, they had a company chaplain, who was available when employees were having family problems, such as a death in the family.Although the company had done well, the market had matured recently and profit margins narrowed significantly. Wal-Mart, for example, was insisting on better terms, which meant significantly lower profits for the Bonneaus. Previously, Ed had set the prices that he needed to make a good return on his investment. Now, the buyers had consolidated, and they had the power. Ed didn’t enjoy running the company as much as he had in the…[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. 7Second consulting is considering undertaking several proposed projects for the next fiscal year. The projects, the number of engineers and support personnel required for each project, and the expected profits for each project are summarized in the following table: Project 1 2 3 4 5 6 Engineers required 20 55 47 38 90 63 Support personnel required 15 45 50 40 70 70 Profit ($1,000,000s) 1.0 1.8 2.0 1.5 3.6 2.2 There are 175 engineers available and 150 support personnel available for these projects. Further, no more than 3 projects can be done. Formulate an integer program to solve this problem. Define the decision variables needed to model this problem. The objective is to maximize profit. Give the objection function. Write the constraints. What is the final answer? Explain in detail.