A clothing manufacturer has the marginal profit function mp(x) = 40 − 0.02 x , 0≤ x≤ 100 (in dollars per suits), where x is the number of suits produced and sold each week. the initial profit is mp(0) = −200 . due to the fixed costs. using a definite integral, it is determined that the total profit from producing and selling 80 suits is

Saeed needs money to purchase tools, basic office supplies, parts to refurbish equipment, accounting software, and legal fees. believing saeed's business will be a success, an investor invests $5,000 to saeed open his business. in return, saeed agrees to repay the investor the $5,000 plus 17 percent of the profits of the business. calculate the return on investment for the investor if saeed's business makes $7,000 in profit as a total return of the business in its first year.

20. sinclair company's single product has a selling price of $25 per unit. last year the company reported a profit of $20,000 and variable expenses totaling $180,000. the product has a 40% contribution margin ratio. because of competition, sinclair company will be forced in the current year to reduce its selling price by $2 per unit. how many units must be sold in the current year to earn the same profit as was earned last year? a. 15,000 units b. 12,000 units c. 16,500 units d. 12,960 units

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