The pay-off matrix of the strategies followed by two players A & B is given below. Player B Strategy B1 B2 B3 B4 Player A Al 2 -5 6 A2 3 -4 heck whether the game has a saddle point or not and find the solution of the game using graphical method.
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- Brandon 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…You have an idea for a new web service that offers customized workouts for subscribers. Build a spreadsheet to calculate 1) the number of new customers each month and 2) the total customer base (cumulative number of customers signed up) each month. Mimic what we did in the class to project the subscription volumes for 60 months under the following sets of assumptions. a)Total market potential is 1,000,000 customers. Each month, you sign up 2% of customers in the market that have not yet signed up. b)Total market potential is initially 1,000,000 customers, but grows at 1% per month. Each month, you sign up 2% of customers in the market that have not yet signed up. Use the graph wizard to make a graph comparing total customer base under each of the two scenarios. Which type of graph is appropriate?A company manufactures two products. If it charges price pi for product i, it can sell qi units of product i,where q1 = 60−3p1 +p2 and q2 = 80−2p2 +p1. It costs $5 to produce a unit of product 1 and $12 to produce a unit of product 2. How many units of each product should the company produce, and what prices should it charge, to maximize its profit?
- Assume the maximum demand for Super is 600,000 barrels. What is the optimal maximum profit? Hints: There are six decision variables are as follows: R1: # of barrels of ingredient 1 used in Regular fuel R2: # of barrels of ingredient 2 used in Regular fuel R3: # of barrels of ingredient 3 used in Regular fuel S1: # of barrels of ingredient 1 used in Super fuel S2: # of barrels of ingredient 2 used in Super fuel S3: # of barrels of ingredient 3 used in Super fuel Some calculations you would need in the constraints: The total # of barrels for Regular would be R1+R2+R3. The total # of barrels for Super would be S1+S2+S3. The total # of barrels of Ingredient 1 would be R1+S1. The total # of barrels of Ingredient 2 would be R2+S2. The total # of barrels of Ingredient 3 would be R3+S3.Bob and Dora Sweet wish to start investing $1,000 each month. The Sweets are looking at five investment plans and wish to maximize their expected return each month. Assume interest rates remain fixed and once their investment plan is selected they do not change their mind. The investment plans offered are: Fidelity 9.1% return per year Optima 16.1% return per year CaseWay 7.3% return per year Safeway 5.6% return per year National 12.3% return per year Since Optima and National are riskier, the Sweets want a limit of 30% per month of their total investments placed in these two investments. Since Safeway and Fidelity are low risk, they want at least 40% of their investment total placed in these investments.Formulate the LP model for this problem, using the standard LP format. Remember to define the objective function, the decision variables, and label the constraint functions. There is no need to solve the problem. Note:- Do not provide handwritten solution. Maintain…In the following scenarios, you will be given a product and an event. Determine If there will be an increase OR decrease in either the supply OR demand, what happens to the price of the product, and what happens to the quantity bought and sold. The first two are answered for you as examples. EXAMPLE! 1 New oil fields are discovered by new companies in Canada EX 1 ANSWER Supply increases, price decreases, quantities increase EXAMPLE! 2 Penguin merchandise. The Penguins play well and contend for a playoff spot. EX 2 ANSWER Demand increases, price increases, quantities decrease 1. Beef. The price of chicken suddenly drops. 2. Newly constructed houses. The price of lumber doubles. 3. The government places a 30% excise tax on alcohol. 4. Peanut butter cookies. The price of chocolate chip cookies increases. 5. Pepsi.…
- Show cells in excel with step by step using solver and the sum product function show how to calculate weighted risk Wall Street firms commonly use linear programming models to select their bond portfolios. A firm is considering the following 5 bonds: Bond Annual Return rate (%) Risk measure Bond 9.2 5 Bond 5 3 Bond 6.1 2 Bond 3.5 4 Bond 1.2 1 In the table above, “risk measure” has a value between 1 and 5 with 5 indicating the riskiest bond and 1 the least risky bond. The firm has a budget of 1 million dollars for this investment. The firm wants to decide its investments in the 5 bonds to maximize the expected return of the portfolio, subject to constraints listed below: The weighted average risk of the portfolio should not exceed 4. At least 30% of the total investment can be invested in bond 3. To diversify the portfolio, the investment on each bond should be at least 10% of the total investment. The sum of investments made in…In the following scenarios, you will be given a product and an event. Determine If there will be an increase OR decrease in either the supply OR demand, what happens to the price of the product, and what happens to the quantity bought and sold. The first two are answered for you as examples. EXAMPLE 1. Oil. New oil fields are discovered by new companies in Canada EX 1 ANSWER Supply increases, price decreases, quantities increase EXAMPLE 2 Penguin merchandise. The Penguins play well and contend for a playoff spot. EX 2 ANSWER Demand increases, price increases, quantities decrease 1. Yankees tickets. The Yankees built a new stadium that has 10,000 fewer seats. 2. Spam (Inferior good) . People’s incomes increase. 3. Foreign cars. The government places an excise tax on all foreign cars produced in the U.S. 4. Jelly.…Calculate the weighted average cost of capital for Foggy Futures Weather Forecasters.The firm is in the 25% tax bracket. The optimal capital structure is listed below:SOURCE OF CAPITAL WEIGHTDebt 20%Preferred Stock 30%Common Stock 50% DebtThe firm can issue $1000 par value, 9% coupon interest bond with a 15 year maturity date. The bond has an average discount of $20 and flotation costs of $30 per bond. The selling price is $1,000Preferred Stock The firm can sell preferred stock with a dividend that is 10% of the current price of $95. The cost of issuing and selling the stock is expected to be $7 per shareCommon Stock The firm's common stock is currently selling for $100 per share. The firm expects to pay cash dividends of $12 per share next year. The dividends have been growing at 8%. The stock was discounted by $7, and the flotation costs amounted to $5 per share.
- Imagine that a firm produces good X with just two factors: capital, which is fixed in supply; and labour, which is variable. The effect on total output (TPP) of increasing the number of workers is shown in column (2) of the table below. (We will fill in columns (3) and (4) ) The relationship between the output (total physical product) of good X and the number of workers employed (1) No. of workers (2) TPP (3) APP (4) MPP 0 1 2 3 4 5 6 7 8 9 0 10 26 41 52 60 65 67 67 63 ……. ……. ……. ……. ……. ……. ……. ……. ……. ……. ……. ……. ……. ……. ……. ……. ……. ……. …….Please show the steps by using the formula for each Salalah Methanol company management is considering three competing investment Projects Option1: Starting a unit in Sohar, Option 2: Starting a unit in Musandam and Option 3: Starting a unit in Muscat. The initialinvestment for all the projects are 11000 and the cost of capital is 4.05% Year Sohar Musandam Muscat 1 1100 2160 3225 2 3100 3260 4250 3 3800 4360 5475 4 4600 5460 6300 5 5100 6900 7000 Use the information below and help the management in choosing the most desirable Project using a. Payback period b. Discounted payback c. Net Present value d. Profitability Index. You have to suggest to the management which project to choose and whyThe accompanying table shows a bookstore's estimated demand for a new calendar. The bookstore needs to decide whether to order100, 200, or 300 calendars for the start of the year. Each calendar costs the store$5 to purchase and can be sold for $13. The store can sell any unsold calendars back to its supplier for $3 each. Determine the number of calendars the bookstore should order to maximize its expected monetary value. Demand Probability 100 0.35 200 0.25 300 0.40 The bookstore should order---------calendars in order to have the maximum expected monetary value of $----- (Type a whole number.)