Find the expected payoff to the row player if R uses the maximin strategy 40% of the time and chooses each of the other two rows 30% of the time while C uses the minimax strategy 50% of the time and chooses each of the other two columns 25% of the time. (Round your answer to two decimal places.)
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Find the expected payoff to the row player if R uses the maximin strategy 40% of the time and chooses each of the other two rows 30% of the time while C uses the minimax strategy 50% of the time and chooses each of the other two columns 25% of the time. (Round your answer to two decimal places.)
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- dvisor estimates that the money-market fund will return 5% over the next year, the blue-chip fund 9%, and the high-tech fund 16%. Jason wants a total of first-year return of $4000. To avoid excessive risk, he decides to invest three times as much money in the money-market fund as in the high-tech stock fund. How much should he invest in each fund? 4. Let A=5, -31 -2 3 a. Find the inverse of matrix A, if it exists. Write out all work. b. Use your answer from part a. to solve the system of linear equations below. (Note: You must use part a. in order to get full credit for this question.) 5x-3y 10 -2x+3y 15 %3D %3D DII DD F10 F7 F8Brandon Mackinnon is considering 3 investment options for his $10,000 savings from working as a professor at Algoma University. He has three different stocks which he can invest his money, Tesla, CIBC & Walmart. He wishes to invest his savings for one year, after which he will use his money to buy a Car. His return after one year will depend on the performance of the economy, which can be strong, average or weak. The returns for each possible combination are shown in the table below. PAYOFFS Alternatives Tesla CIBC Walmart Below are the Outcomes Strong Economy $1.200 $700 $400 Average Economy $600 S400 S300 Weak Economy -$1,000 S100 S200 Assume Brandon will choose only one stock for each question below. A. Which stock should Brandon invest his money in if he uses the Maximax Criterion? B. Which stock should Brandon invest his money in if he uses the Maximin Criterion? C. Which stock should Brandon invest his money in if he uses the Equally Likely Criterion? D. Which stock…A man has $380,000 invested in three rental properties. One property earns 7,5% per year on the investment, the second earns 7%, and the third earns 9%. The total annual earnings from the three properties is $30,750, and the amount invested at 9% equals the sum of the first two investments. Let x equal the investment at 7.5%, y equal the investment at 7%, and z represent the investment at 9%. Complete parts (a) through (d) below. x+y+z=380000 (Type an equation. Do not include the $ symbol in your answer.) b. Write an equation that states that the sum of the returns from all three investments is $30,750. 0.075x+0.07y +0.09z = 30,750 (Type an equation. Do not include the $ symbol in your answer.) c. Write an equation that states that the amount invested at 9% equals the sum 'of the other two investments. > z =x+y (Type an equation. Do not include the $ symbol in your answer.) d. Solve the system of equations to find how much is invested in each property. O A. There is one solution. The…
- A man has $420,000 invested in three rental properties. One property earns 7.5% per year on the investment, the second earns 7%, and the third earns 9%. The total annual earnings from the three properties is $33,900, and the amount invested at 9% equals the sum of the first two investments. Let x equal the investment at 7.5%, y equal the investment at 7%, and z represent the investment at 9%. Complete parts (a) through (d) below. a. Write an equation that represents the sum of the three investments. (Type an equation. Do not include the $ symbol in your answer.) b. Write an equation that states that the sum of the returns from all three investments is $33,900. (Type an equation. Do not include the $ symbol in your answer.) c. Write an equation that states that the amount invested at 9% equals the sum of the other two investments. (Type an equation. Do not include the $ symbol in your answer) d. Solve the system of equations to find how much is invested in each property,An investment manager has a dilemma of how to invest K10 000 000. He could either invest in stocks, bonds, certificates of deposit (CD) or a mixture of the three. The economy could be stagnant 25%, slow growth 45% and rapid growth 30%. For the stagnant economy –K500 000, -K100 000, K300 000 and –K200 000 would be the payoffs for the different investments For the slow growth economy K700 000, K600 000, K500 000 and K650 000 would be the payoffs for the different investments For the rapid growth economy K2200 000, K900 000, K750 000 and K1300 000 would be the payoffs for the different investments. Required: Compute the expected monetary value (EMV).A group is planning its annual fund-raiser in which it raises money by selling pasta dinners. The group will charge $2.41 per serving of pasta. The expenses the group will incur are the cost of the pasta, $0.75 per serving, and the $344 cost of renting the facility for the evening. Find the associated cost, revenue, and profit function. What will be the resulting profit if they sell 246 servings of pasta? (Round to the nearest cent which is two decimal places. Do not include units or symbols.)
- A man has $420,000 invested in three rental properties. One property earns 6.5% per year on the investment, the second earns 9%, and the third earns 8%. The total annual earnings from the three properties is $34,450, and the amount invested at 8% equals the sum of the first two investments. Let x equal the investment at 6.5%, y equal the investment at 9%, and z represent the investment at 8%. Complete parts (a) through (d) below. a. Write an equation that represents the sum of the three investments. nothing (Type an equation. Do not include the $ symbol in your answer.) b. Write an equation that states that the sum of the returns from all three investments is $34,450. nothing (Type an equation. Do not include the $ symbol in your answer.) c. Write an equation that states that the amount invested at 8% equals the sum of the other two investments. nothing (Type an equation. Do not include the $ symbol in your answer.) d. Solve the system of equations…Mr. Adams wants to rent a beachfront condominium. Unit 1 costs $1,200 for the week plus a cleaning fee of $50 per day. Unit 2 costs $1,450 for the week with no cleaning fee. What is an appropriate model to use to determine at which number of days both units cost the same amount for the week? a table with two columns, one showing the cost of Unit 1 starting at $1,200 and increasing $50 every row, and the other showing the cost of Unit 2 starting at $1,450 and increasing $50 each row a graph with the number of days for the week on the x-axis and the cost on the y-axis, showing the cost of Unit 1 starting at $50 and increasing $1,200 each day, and the cost of Unit 2 starting at $0 and increasing $1,450 each day a graph w the number of days for the eek on the x-axis and the cost on he y-axis, showing cost 1 starting at $1,200 and increasing $50 each day, and the cost of Unit 2 at $1,450 each day without increasing a table with two columns, one showing the cost of Unit 1 starting at $50 and…If a salesperson has gross sales of over $600,000 in a year, then he or she is eligible to play the company's bonus game: A black box contains 3 one-dollar bills, 1 five-dollar bill and 1 twenty-dollar bill. Bills are drawn out of the box one at a time without replacement until a twenty-dollar bill is drawn. Then the game stops. The salesperson's bonus is 1,000 times the value of the bills drawn. Complete parts (A) through (C) below. (A) What is the probability of winning a $23,000 bonus? (Type a decimal or a fraction. Simplify your answer.) C
- If a salesperson has gross sales of over $600,000 in a year, then he or she is eligible to play the company's bonus game: A black box contains 2 one-dollar bills, 1 five-dollar bill and 1 twenty-dollar bill. Bills are drawn out of the box one at a time without replacement until a twenty-dollar bill is drawn. Then the game stops. The salesperson's bonus is 1,000 times the value of the bills drawn. Complete parts (A) through (C) below. (A) What is the probability of winning a $20,000 bonus? (Type a decimal or a fraction. Simplify your answer.) (B) What is the probability of winning the maximum bonus by drawing out all the bills from the box? Type a decimal or a fraction. Simplify your answer.) (C) What is the probability of the game stopping at the third draw? Type a decimal or a fraction Simplify your answer.)A group of investors decide to invest $500,000 in the stocks of three companies. Company D sells for $60/share and has an expected growth of 16% annually. Company E sells for $80/share and has expected growth of 12% per year. Company F sells for $30/share and has expected growth of 9% per year. The group plans to buy four times as many share of company F as of Company E. The group's goal is 13.68% growth per year. Let x represent company D shares, y represent company E shares, and z represent company F shares. Identify the system of equations. [Enter the coefficients in the spaces provided] X + X + X + y + y + y + Z = Z = Z =A group of investors decide to invest $500,000 in the stocks of three companies. Company D sells for $60/share and has an expected growth of 16% annually. Company E sells for $80/share and has expected growth of 12% per year. Company F sells for $30/share and has expected growth of 9% per year. The group plans to buy four times as many share of company F as of Company E. The group's goal is 13.68% growth per year. Let x represent company D shares, y represent company E shares, and z represent company F shares. Identify the system of equations. [Enter the coefficients in the spaces provided] X + B X + X + V + V + V + Z = Z =