You and k−1 friends want to buy different pieces of candy. candy piece costs . the candy shop owner is greedy and wants to maximize his number of new customers, so he increases the sale price of the candy for repeated customers; more precisely, if a customer has already purchased x pieces of candy, then the cost of candy is ∗(x+1) . find and print the minimum cost for your group to purchase all pieces of candy.

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.)