What will be company A’s market share in the long run given the following probabilities of movements of clients from company to another: Show complete solution. A B C A 0.30 0.50 0.20 B 0.20 0.55 0.25 C 0.05 0.40 0.55
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What will be company A’s market share in the long run given the following
A B C
A 0.30 0.50 0.20
B 0.20 0.55 0.25
C 0.05 0.40 0.55
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- Suppose a distribution center is considering three options for expansion. The first one is to expand into a new plant, the second to add on third-shift to the daily schedule, and third, a small expansion to the existing facility. There are three possibilities for demand. These are high, medium, and low having probabilities of 40%, 33%, and 27% respectively. Suppose that the profits for the expansion plans are as follows: The new plant expected outcomes are $110,000, $50,000, -$15,000, the third shift consideration would result in outcomes of $40,000, $20,000, $-5,000 and the small expansion choice would in the following dollar amounts $15,000, $13,000, -$1,500. The amount that the company must invest in each alternative is: new plant = $48,000, third shift = $15,100, small expansion = $8,700 a. The profit/loss (EMV) for the new plant is $ [Select] b. The profit/loss (EMV) for adding a third shift is $ [Select] c. The profit/loss (EMV) for the small expansion is $ [Select] d. Which of…1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.An amount of $10,000 is to be invested for three years. The yield rate for the first year will be equally likely to be 5%, 6%, 7%, 8% or 9%; for the second year will be equally likely to be 7% or 9%; for the third year will be 7%, 8% or 9% with probabilities 0.3, 0.5 and 0.2, respectively. The yield rates in different years are independent. Find the probability that the accumulation of the investment for the three years will be greater than its expected value.
- 2. This year Karen has decided to diversify her business by growing broc- coli as well as lettuce. Karen plants lettuce with a probability of or broccoli with a probability of . By the time these plants are ready to harvest the price of lettuce increases with a probability of and decreases with a probability of 3. The price of broccoli increases with a probability of , decreases with a probability of or stays the same with a probability of . (a) Draw a probability tree for this scenario. (b) Use the probability tree to determine the probability that Karen plants broccoli and that the price of broccoli increases by the time it is ready to harvest. (c) Use the probability tree to determine the probability that the price of whatever Karen plants increases by the time it is ready to harvest. (d) Calculate Pr(Price of lettuce does not change | Karen plants lettuce). (e) Calculate Pr(Price of broccoli does not changen Karen plants broccoli).Johnson Chemicals is considering two options for its supplier portfolio. Option 1 uses two local suppliers. Each has a "unique-event" risk of 4.5%, and the probability of a "super-event" that would disable both at the same time is estimated to be 1.3%. Option 2 uses two suppliers located in different countries. Each has a "unique-event" risk of 14%, and the probability of a "super-event" that would disable both at the same time is estimated to be 0.18%. a) The probability that both suppliers will be disrupted using option 1 is ____ (round your response to five decimal places). b) The probability that both suppliers will be disrupted using option 2 is _____ (round your response to five decimal places).Suppose that Trendy Inc. products a style of a seasonal business suit, Sit-T-Slicker, which has a cost of $500 per unit. The demand during the season for Sit-T-Slicker is generally unknown and could be either: 200, 500, 800, 1100, and 1500 units with equal probabilities. Trendy sells the Sit-T-Slicker suit for $900 per unit during its three-month season, and for $300 per unit when sold after that time. Given the above data, what is the optimal order quantity for the Sit-T-Slicker? What is expected profit? Suppose the probabilities in part a change to 0.05, 0.25, 0.40, 0.25, 0.05 for demand levels 200, 500, 800, 1100, 1500, respectively. What is the optimal order quantity and expected profit in this case? How would better information regarding the demand for the Sit-T-Slicker suit change the data provided in this problem? How would this information affect the answers to part a? Explain.
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