1)

Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximizep=2x+4ysubject to

0.1x	+	1.3y		7
2x	+	y		11
x0,y0.

p=
(x,y) =

2)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 costs31per serving and the dessert costs51per serving, and you want to provide your child with at least140calories and at least32grams 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	serving(s)
Gerber Mango Tropical Fruit Dessert	serving(s)