Please help with both if possible! (:

9. [-la Points] Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates. Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates If the cereal costs 32 per serving and the dessert costs 52 per serving, and you want to provide your child with at least 140 calories and at least 32 grams of Carbohydrates, how can you do so at the least cost? (Fractions of servings are permitted. If an answer does not exist, enter DNE.) Gerber Mixed Cereal for Baby E serving(s) Gerber Mango Tropical Fruit Dessert : serving(s) 10. [19 Points] The Megabuck Hospital Corp. is to build a statessubsidized nursing home catering to homeless patients as well as highsincome patients. State regulations require that every subsidized nursing home must house a minimum of 750 homeless patients and no more than 1,100 highsinoome patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 2,400 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exoeed tWIDe the number of high-moome patients. Due to the state subsidy, the hospital Will make an average prot of $9,900 per month for every homeless patient it houses, whereas the prot per highsincome patient is estimated at $7,500 per month. How many of each type of patient should it house in order to maximize profit? HINT [See Example 3.] (If an answer does not exist, enter DNE.) hig income patients l: homeless patients l: m 5