Amanufacturing cell consists of 12 identical machines. at any given time, one or more of the machines may be inoperable. the operator for the manufacturing cell troubleshoots machines and performs limited repair work. occasionally, the operator requires more skilled technicians to complete repairs. regardless of who performs the repairs, repair times for any machine is exponentially distributed with a mean of 30 minutes. the time until failure of an operating machine is exponentially distributed with a mean of 10 hours (a) if the operator/technician only work on a single machine at a time for repairs, what is the average number of operating machines in the manufacturing cell in the long run? (b) if there were two operators who could perform repairs simultaneously, what would the average number of operating machines be in the long run

Reliable electric is a regulated public utility, and it is expected to provide steady dividend growth of 5% per year for the indefinite future. its last dividend was $6 per share; the stock sold for $50 per share just after the dividend was paid. what is the company’s cost of equity? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places.)

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a. what is the firm’s labor demand function? b. if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c. now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

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