The company plans for finished goods inventory of 190 units at the end of June. In addition, each finished unit requires 5 pounds of direct materials and the company wants to end each month with direct materials inventory equal to 30% of next month’s production needs. Beginning direct materials inventory for April was 765 pounds. Direct materials cost $2 per pound. Each finished unit requires 0.30 hours of direct labor at the rate of $23 per hour. The company budgets variable overhead at the rate of $27 per direct labor hour and budgets fixed overhead of $8,700 per month.

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.)