You must show your work. 1. The following table gives profits of 3 projects under various scenarios. Outcomes E3 E1 A1 80 E2 100 90 -20 Projects A2 120 10 A3 60 85 85 Prob .4 .5 .1 Find the best strategy for (а) maximax, (b) maximin, (c) minimax regret, (d) max expected value het
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- If you played the game in Exercise 1 many times, then you would expect your average payoff per game lo be about $ ____________.Hudson Corporation is considering three options for managing its data processing operation: continue with its own staff, hire an outside vendor to do the managing (referred to as outsourcing), or use a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of dollars) depends on demand as follows: a. If the demand probabilities are .2, .5,and .3, which decision alternative will minimize the expected cost of the data processing operation? What is the expected annual cost associated with your recommendation? b. What is the expected value of perfect information?The proprietor of Midland Construction Company has to decide between two projects. He estimates that the first project will yield a profit of $160,000 with a probability of 0.7 or a profit of $120,000 with a probability of 0.3; the second project will yield a profit of $220,000 with a probability of 0.6 or a profit of $70,000 with a probability of 0.4.Find the expected profit for each project. first project $ second project $ Which project should the proprietor choose if he wants to maximize his expected profit? first project second project
- You are considering purchasing stand-alone shares in two companies: Company A and Company B. While both companies expect a rate of return of 15% under normal market conditions, the possible returns under strong and weak economies differ. There is a 30% chance of a weak economy outcome, a 30% chance of a strong economy outcome, and a 40% chance of a normal outcome. For Company A, under a strong economy, they expect a return of 75%. Under a weak economy, they expect a return of -45%. For Company B, under a strong economy, they expect a return of 23%. Under a weak economy, they expect a return of 7.5%. 1. Create a probability distribution table for both companies. 2. Calculate the standard deviation for both companies. 3. With the distribution, create either a bar graph or a bell curve to graph the two companies. 4. From your calculations, describe which company you would consider investing in, if you were risk averse.Mike, a lumber wholesaler, is considering the purchase of a (railroad) car- load of varied dimensional lumber. He calculates that the probabilities of reselling the load for $10,000, $9000, and for $8000 are 0.22, 0.33, and 0.45 respectively. In order to ensure an expected profit of $3000, how much can Mike pay for the loadBonus #2: Three compounds were created to combat the virus outbreak, compound W, compound V, and compound Y. The cost to produce compound W was $500, the cost to produce compound V was $600, and the cost to produce compound Y was $1000. Compound Y was the best and so was used 49% of the time, compound W was used 27% of the time and compound V was used 24% of the time. Knowing this, what is the expected price of the compound used to cure the virus? Bonus #3: Using the information in Bonus #2, determine the standard deviation for the expected price Bonus #4The average of the ages of victims is calculated in question #9, using this average calculate a 95% confidence interval of the true average age of victims and interpret it in words
- You are in charge of preparing the disaster risk matrix hydrometeorological studies for an engineering project in the Caribbean, it is known that in the last 3 years they have impacted 8 hurricanes; with this information determine: a) The probability that 2 hurricanes will occur the following year,b) The probability that during the project life cyclewhich is 2 years, less than 5 hurricanes occur,c) If the return on investment is considered to be 20 years,how many hurricanes you would expect to occur, and determine theprobability that in that period there are between 45 and 55hurricanesSuppose that speeding imposes externalities on other people resulting in a social cost of $50. A town is considering hiring an extra police officer to give out speeding tickets. If we want to maximize social welfare (absent enforcement costs), which of the following statements are true? (Assume risk neutral drivers.) a) If the probability of detection with the extra police officer is 10%, then a speeding ticket should cost $55. b) If the probability of detection with the extra police officer is 10%, then a speeding ticket should cost $500. c) If the probability of detection with the extra police officer is 100%, then no one will speed. d) If the probability of detection with the extra police officer is 90%, then a speeding ticket should cost $59 e) None of the aboveHemmingway, Inc., is considering a $5 million research and development (R&D) project. Profit projections appear promising, but Hemmingway's president is concerned because the probability that the R&D project will be successful is only 0.50. Furthermore, the president knows that even if the project is successful, it will require that the company build a new production facility at a cost of $20 million in order to manufacture the product. If the facility is built, uncertainty remains about the demand and thus uncertainty about the profit that will be realized. Another option is that if the R&D project is successful, the company could sell the rights to the product for an estimated $25 million. Under this option, the company would not build the $20 million production facility. The decision tree is shown in Figure 4.16. The profit projection for each outcome is shown at the end of the branches. For example, the revenue projection for the high demand outcome is $59 million.…
- The estimated model was Theft = β0 + β1caught + β2penalty + β3gender + β4Income + β5Edu Provide an explanation of the expected signs of each of the coefficients, referring to relevant economic theory.A citrus grower anticipates a profit of $100,000 this year if the nightly temperatures remain mild. Unfortunately, the weather forecast indicates a 25% chance that the temperatures will drop below freezing during the next week. Such freezing weather will destroy 40% of the crop and reduce the profit to $60,000. However, the grower can protect the citrus fruit against the possible freezing (using smudge pots, electric fans, and so on) at a cost of $5000. Should the grower spend the $5000 and thereby reducethe profit to $95,000? [Hint: Compute E(X ), where X is theprofit the grower will get if he does nothing to protect the fruit.]The Chinese government has created a fund worth more than 20 trillion won to foster the semiconductorindustry. Although there is a large technological difference between memory semiconductors, systemsemiconductors can be developed in a short period of time. The number of companies producinghomogeneous quality products has increased.■Question (a) In the Cournot game, when the number of firms increases from 2 to n, compare the output,total output, and profit of each firm with N.E. in the Cournot model. ■Question (b) If the number of companies participating in the semiconductor market increases to infinity,that is, in a perfectly competitive market, what will be the equilibrium point?