You are considering investing $1,000 at an interest rate of 6.5% compounded annually for five years or investing the $1,000 at 6.8% per year simple interest for five years. Whic option is better? The future value of Option 1 (6.5% compounded annually) is $ (Round to the nearest dollar.) The future value of Option 2 (simple interest of 6.8% per year) is $ (Round to the nearest dollar.) Select the correct choice from the drop-down menu below. (1) is better. (1) O Option 1 O Option 2
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where
Initial Investment = $1000
Rate = 6.8%
Time = 5
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- Mr. and Mrs. John Smith have signed a purchase agreement for a 4 bedroom house with separate garage. The purchase price is $500,000. They plan on putting a down payment of 20 percent. They are with their lender who shows the couple how much their monthly mortgage payment would be if they took out a 30-year mortgage, a 20-year mortgage, or if they took out a 15-year mortgage. The interest rate is 2.5% to take out the loan. Write a JAVA program that will help the Smiths and any other customer of the lender determine their monthly mortgage payment based on the following input: - Purchase Price - Down Payment - Loan Amount (purchase price - down payment) - Interest rate in decimal form - Number of years for mortgage The program will also include entry of the name(s) for the mortgagee (person taking out the loan for the mortgage) and the date the calculations were made. The program will also ask if the client wants to run the program again [that way the Smiths' will be able to…Suppose you've just inherited $10,000 from a relative. You're trying to decide whether to put the $10,000 in a non-interest-bearing account so that you can use it whenever you want (that is, hold it as money) or to use it to buy a U.S. Treasury bond. The opportunity cost of holding the inheritance as money depends on the interest rate on the bond. For each of the interest rates in the following table, compute the opportunity cost of holding the $10,000 as money.Question 2: Three players (A, B and C) play the Card Game. Each player has two cards. The three players have the following card values: Player (A): 5 and 7 Player (B): 4 and 2 Player (C): 8 and 1 Player A starts by putting one card then Player B puts one card then player C puts one card and the game is over. The score of player A (utility value for A) is computed by the following formula: Score(A) = card value(A) - card value(B) - card value(C). The score of player B (utility value for B) is computed by the following formula: Score(B) = card value(B) - card value(A) - card value(C). The score of player C (utility value for C) is computed by the following formula: Score(C) card value(C) - card value(A) - card value(B). a) Construct the corresponding Game Tree. Then find the utility values of all nodes. b) Which player will win the game? c) Show how can the losers make the winner lose the game. What do you note?
- GENERATE THE DECISION VARIABLE SOLUTION AND GENERATE AN ANSWER REPORT AND SENSITIVITY REPORT 3. The Wisham family lives on a farm in South Georgia on which it produces a variety of crops and livestock, including pecans. It has 5 acres of pecan trees that yield approximately 1,000 pounds of unshelled pecans per acre each year. The family uses all of its pecan harvest to produce pecan pies, cookies, 1-pound bags of shelled pecans, and 5-pound bags of unshelled pecans, which it sells in town at the local farmers' market. The family sells pies for $5, packages of a dozen cookies for $3, bags of shelled pecans for $7, and bags of unshelled pecans for $16. A shelled pecan is half the weight of an unshelled pecan. It requires 4 ounces of shelled pecans to make a pie, and 6 ounces of shelled pecans to make a dozen cookies. The pies and cookies are baked in the family oven, and there are 120 hours of baking time available. It takes 55 minutes to bake a batch of 4 pies and 15 minutes to bake a…A person is looking to invest $100,000 in hopes of getting the highest return possible. There are 4 investment options available: bonds, mutual funds, stocks, or a saving account yielding interest. The bonds give a 3% annual return, mutual funds give an 8% return, stocks give a 10% return, and the savings account gives a 2% return (all investments subject to risk). To control for risk, several constraints are put into place: 1. No more than 15% of the total investment can be put into stocks. 2. At least 40% must be invested in mutual funds and/or the savings account. 3. The amount put in the savings account must be no more than the amount put into the other investments combined. 4. The ratio of money invested in bonds and mutual fund to the amount in stocks and the savings account should be at least 1.2 to 1. 5. All $100,000 must be invested and no shorting is allowed (It means there will be no “borrowed” money”) Formulate a linear programming model for this problem to get the highest…A new author is in the process of negotiating a contract for a new romance novel. The publisher is offering three options. In the first option, the author is paid $5,000 upon delivery of the final manuscript and $20,000 when the novel is published. In the second option, the author is paid 12.5% of the net price of the novel for each copy of the novel sold. In the third option, the author is paid 10% of the net price for the first 4,000 copies sold, and 14% of the net price for the copies sold over 4,000. The author has some idea about the number of copies that will be sold and would like to have an estimate of the royalties generated under each option. Write a program that prompts the author to enter the net price of each copy of the novel and the estimated number of copies that will be sold. The program then outputs the royalties under each option and the best option the author could choose. (Use appropriate named constants to store the special values such as royalty rates and fixed…
- A new author is in the process of negotiating a contract for a new romance novel. The publisher is offering three options. In the first option, the author is paid $5,000 upon delivery of the final manuscript and $20,000 when the novel is published. In the second option, the author is paid 12.5% of the net price of the novel for each copy of the novel sold. In the third option, the author is paid 10% of the net price for the first 4,000 copies sold, and 14% of the net price for the copies sold over 4,000. The author has some idea about the number of copies that will be sold and would like to have an estimate of the royalties generated under each option. Write a program in C++ that prompts the author to enter the net price of each copy of the novel and the estimated number of copies that will be sold. The program then outputs the royalties under each option and the best option the author could choose. (Use appropriate named constants to store the special values such as royalty…A 0% coupon bond maturing in 10 years is yielding 5.29%. The bond's duration is 14.1 years and its convexity is 106.34. What is the new price of the bond if the interest rate rises 1.00%? Multiple Choice $597.21 $513.01 $516.18 $864.32.The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to three regionsthe South, the East, and the Midwest. A salesperson in the South earns $600 in profit per month for the company, a salesperson in the East eams $540, and a salesperson in the Midwest earns $375. The southern region can have a maximum assignment of 5 salespeople. The.company has a total of $750 per day available for expenses for all 12 salespeople. A salesperson in the South has average expenses of $80 per day, a salesperson in the East has average expenses of$70_pér day, and a salesperson in the Midwest has average daily expenses of $50. The company wants to detemine the number of salespeople to assign to each region to maximize profit. a. Formulate an integer programming model for this problem. b. Solve this model by using the computer.
- GENERATE THE DECISION VARIABLE SOLUTION AND GENERATE AN ANSWER REPORT 3. The Wisham family lives on a farm in South Georgia on which it produces a variety of crops and livestock, including pecans. It has 5 acres of pecan trees that yield approximately 1,000 pounds of unshelled pecans per acre each year. The family uses all of its pecan harvest to produce pecan pies, cookies, 1-pound bags of shelled pecans, and 5-pound bags of unshelled pecans, which it sells in town at the local farmers' market. The family sells pies for $5, packages of a dozen cookies for $3, bags of shelled pecans for $7, and bags of unshelled pecans for $16. A shelled pecan is half the weight of an unshelled pecan. It requires 4 ounces of shelled pecans to make a pie, and 6 ounces of shelled pecans to make a dozen cookies. The pies and cookies are baked in the family oven, and there are 120 hours of baking time available. It takes 55 minutes to bake a batch of 4 pies and 15 minutes to bake a batch of 2 dozen…The calculation of the bill will be used the following rules: -The bill will be exempted for usage 20m3 and below.-For the next 15m3 is charged at 50cents/m3.-The next 20m3 is charged at 70cents for every additional m3.-The next 25m3 is charged at $1.00 for every additional m3.-Any further m3 is charged at $1.20 for every additional m3.In this case, the input can be up to 200 m3. The system only accepts the numeric(non-negative) values as the input. Other than the accepted value will be rejected by the system with an error message. The output of the system will be the total bill charged. write out equivalence partition (EP) for the above specification.Portfolio manager Max Gaines needs to develop an investment portfolio for his clients who are willing to accept a moderate amount of risk. His task is to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the portfolio maximizes the expected return but provides an annual return of no less than 3%. for each of the following scenarios. Annual Returns (Planning Scenarios): mutual fund yr 1 yr 2 yr 3 yr 4 international stock 22.37 26.73 6.46 -3.19 low-cap blend 14.88 18.61 10.52 5.25 mid-cap blend 19.45 18.04 5.91 -1.94 small-cap blend 13.79 11.33 -2.07 6.85 intermediate bond 7.29 8.05 9.18 3.92 Formulate the appropriate linear program for this situation. (state the objective function, the decision variables, and the constraints)