The marginal rate of technical substitution always equals A. minus the ratio of the marginal products of inputs. B. the slope of the total product curve. C. the change in output due to a change in the amount of one input. D. the distance between two isoquants.

Afirm produces a product in a competitive industry and has a total cost function (tc) of tc(q) = 60 + 10q + 2q2 and a marginal cost function (mc) of mc(q) = 10 + 4q. at the given market price (p) of $20, the firm is producing 5.00 units of output. is the firm maximizing profit? no what quantity of output should the firm produce in the long run? the firm should produce unit s) of output. (enter your response as an integer.)

He aldermanalderman company has prepared a sales budget of 42 comma 00042,000 finished units for a 3-month period. the company has an inventory of 10 comma 00010,000 units of finished goods on hand at december 31 and has a target finished goods inventory of 11 comma 00011,000 units at the end of the succeeding quarter. it takes 44 gallons of direct materials to make one unit of finished product. the company has inventory of 64 comma 00064,000 gallons of direct materials at december 31 and has a target ending inventory of 53 comma 00053,000 gallons at the end of the succeeding quarter. how many gallons of direct materials should aldermanalderman company purchase during the 3 months ending march 31? select the labels and enter the amounts to calculate the direct materials (gallons) to be purchased.

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