In Problems 39-47, construct a mathematical model in the form of a linear programming problem. Do not solve.
Investment strategy. An investor is planning to divide her investments among high-tech mutual funds, global mutual funds, corporate bonds, municipal bonds, and CDs. Each of these investments has an estimated annual return and a risk factor (see the table). The risk level for each choice is the product of its risk factor and the percentage of the total funds invested in that choice. The total risk level is the sum of the risk levels for all the investments. The investor wants at least
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- Roland's Barber Shop and Charley's Barber Shop are both located in the business district of a certain town. Roland estimates that if he raises the price of a haircut by $1, he will increase his market share by 6% if Charley raises his price by the same amount; he will decrease his market share by 1% if Charley holds his price at the same level; and he will decrease his market share by 2% if Charley lowers his price by $1. If Roland keeps his price the same, he will increase his market share by 4% if Charley raises his price by $1; he will keep the same market share if Charley holds the price at the same level; and he will decrease his market share by 3% if Charley lowers his price by $1. Finally, if Roland lowers the price he charges by $1, his market share will increase by 5% if Charley raises his prices by the same amount; he will increase his market share by 3% if Charley holds his price at the same level; and he will increase his market share by 2% if Charley lowers his price by…arrow_forwardSwain Athletic Gear (SAG) operates six retail outlets in a large Midwest city. One is in the center of the city on Cornwall Street and the others are scattered around the perimeter of the city. Management at SAG is concerned about declining sales and profitability of the Cornwall store and believes that outlet has been a drag on profits in recent years. The most recent income statement for the Cornwall store follows. SWAIN ATHLETIC GEAR Cornwall Street Store Income Statement For the Year Ending February 28 Sales revenue $ 12,300,000 Costs Cost of goods sold $ 5,289,000 Advertising 1,421,000 Store administrative salaries 975,000 Sales commissions 1,056,000 Leases and utilities 2,100,000 Allocated corporate support 1,622,000 Total costs $ 12,463,000 Net loss before tax benefit $ (163,000) Tax benefit at 25% (40,750) Net loss $ (122,250) The CFO at SAG has asked for your advice on closing the Cornwall Street store. If the Cornwall Street store is…arrow_forwardA financial manager has to invest $ 200000 in two options, one risky with a return of 20% and second less risky with a return of 10% per year. If the goal is to make $ 32000 at the end of the year what should be distribution of the money in both options.arrow_forward
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