Linear Programming For the constraints given below which poi

Linear Programming

For the constraints given below, which point is in the feasible solution space of this maximization problem?

(1) 3X + 5Y 15

(2) X - 2Y 2

(3) - X + Y 1

(4) 3X + 2Y 6

Options...

a. X = 4, Y = 1

b. X = 3, Y = 3

c. X = 2, Y = 1

d. X = 1, Y = 3

e. None

Out of the given options, X = 2, Y = 1 satisfies all 4 conditions as:

(1) 3X + 5Y = 11 15

(2) X - 2Y = 0 2

(3) - X + Y = -1 1

(4) 3X + 2Y = 8 6

So, Answer: c. X = 2, Y = 1