(a) What is a linear optimization problem with multiple optimal solutions? How do we find if a given linear optimization problem has multiple optimal solutions? Give a real world example of a linear optimization problem where multiple optimal solutions may occur. (b) Explain how the simulation process is used in business analytics models. What are the advantages of using simulation? What are its limitations? How can a simulation model be verified? Give a real world example where using simulation is appropriate. Use at least 10 sentences to answer this question.
(c) What is a marketing problem in applications of linear optimization? Briefly discuss the decision variables, the objective function and the constraint requirements in a marketing problem. Give a real world example of a marketing problem. Answer in at least eight sentences.
(d) Describe the concept and process of spreadsheet modeling and analysis. Give a real world example where spreadsheet modeling and analysis is useful. Answer in at least eight sentences.

Which of the following statements is correct? a. two firms with identical sales and operating costs but with different amounts of debt and tax rates will have different operating incomes by definition. b. free cash flow (fcf) is, essentially, the cash flow that is available for interest and dividends after the company has made the investments in current and fixed assets that are necessary to sustain ongoing operations. c. retained earnings as reported on the balance sheet represent cash and, therefore, are available to distribute to stockholders as dividends or any other required cash payments to creditors and suppliers. d. if a firm is reporting its income in accordance with generally accepted accounting principles, then its net income as reported on the income statement should be equal to its free cash flow. e. after-tax operating income is calculated as ebit(1 - t) + depreciation.

Calculate the cost of each capital component—in other words, the after-tax cost of debt, the cost of preferred stock (including flotation costs), and the cost of equity (ignoring flotation costs). use both the capm method and the dividend growth approach to find the cost of equity. calculate the cost of new stock using the dividend growth approach. what is the cost of new common stock based on the capm? (hint: find the difference between re and rs as determined by the dividend growth approach and then add that difference to the capm value for rs.)assuming that gao will not issue new equity and will continue to use the same target capital structure, what is the company’s wacc? e. suppose gao is evaluating three projects with the following characteristics. each project has a cost of $1 million. they will all be financed using the target mix of long-term debt, preferred stock, and common equity. the cost of the common equity for each project should be based on the beta estimated for the project. all equity will come from reinvested earnings. equity invested in project a would have a beta of 0.5 and an expected return of 9.0%.equity invested in project b would have a beta of 1.0 and an expected return of 10.0%.equity invested in project c would have a beta of 2.0 and an expected return of 11.0%.analyze the company’s situation, and explain why each project should be accepted or rejected g

Which of the following constitute the types of unemployment occurring at the natural rate of unemployment? a. frictional and cyclical unemployment. b. structural and frictional unemployment. c. cyclical and structural unemployment. d. frictional, structural, and cyclical unemployment.