PLEASE HELP!

1.) Solve the linear programming problem by the method of corners. Maximize P = 3x + 2y subject to x + y 8 2x + y 14 x 0, y 0 The maximum is P = ? at (x, y) = ?

2.) Solve the linear programming problem by the method of corners.

Maximize	P = 2x + 6y
subject to	x	+	y		10
	3x	+	y		12
	2x	+	3y		12
	x 0, y 0

The maximum is P = ? at (x, y) = ?

3.) A veterinarian has been asked to prepare a diet, x ounces of Brand A and y ounces of Brand B, for a group of dogs to be used in a nutrition study at the School of Animal Science. It has been stipulated that each serving should be no larger than 8 oz and must contain at least 29 units of Nutrient I and 20 units of Nutrient II. The vet has decided that the diet may be prepared from two brands of dog food: Brand A and Brand B. Each ounce of Brand A contains 3 units of Nutrient I and 4 units of Nutrient II. Each ounce of Brand B contains 5 units of Nutrient I and 2 units of Nutrient II. Brand A costs 2 cents/ounce, and Brand B costs 6 cents/ounce. Determine how many ounces of each brand of dog food should be used per serving to meet the given requirements at a minimum cost. (x, y) = ?

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