Backus Inc. makes and sells many consumer products. The firm’s average contribution margin ratio is 26%. Management is considering adding a new product that will require an additional $12,000 per month of fixed expenses and will have variable expenses of $9 per unit. Required:a. Calculate the selling price that will be required for the new product if it is to have a contribution margin ratio equal to 25%. (Round your answer to 2 decimal places.)b. Calculate the number of units of the new product that would have to be sold if the new product is to increase the firm's monthly operating income by $7,500. (Do not round intermediate calculations.)

Suppose life expectancy in years (l) is a function of two inputs, health expenditures (h) and nutrition expenditures (n) in hundreds of dollars per year. the production function is upper l equals ch superscript 0.40 baseline upper n superscript 0.60l=ch0.40n0.60. beginning with c = 1, a health input of $400400 per year (hequals=44) and a nutrition input of $400400 per year (nequals=44), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing. the marginal product of health expenditures when h goes from 44 to 55 is nothing, and the marginal product of health when h goes from 66 to 77 is nothing. (round your answers to three decimal places.)