Suppose Bill is on a low-carbohydrate diet. He can eat only three foods: Rice Krispies, cot-tage cheese, and popcorn. The marginal utilities for each food are tabulated below. Bill is allowed only 167 grams of carbohydrates daily. Rice Krispies, cottage cheese, and popcorn provide 25, 6, and 10 grams of carbohydrates per cup, respectively. Referring to the accompanying table, respond to the following questions: Units of food (cups/day)Marginal utility of Rice Krispies Marginal utility of cottage cheese Marginal utility of popcorn1 175 72 902 150 66 803 125 60 704 100 54 605 75 48 506 50 36 407 25 30 308 25 18 20

a. Given that Bill can consume only 167 grams of carbohydrates daily, how many cups of each food will he consume daily? Show your work

.b. Suppose Bill's doctor tells him to further reduce his carbohydrate intake to 126 grams per day. What combination will he consume?