a) Find the solution set for the following systems graphically and graph the iso profit line on the same diagram. (8 marks)

b) Using the iso-profit line, determine the optimal solution to each system. (2 marks)

c) Which constraints are binding, and which ones are non-binding? (5 marks)

i)C = 2x + 3y s.t.

4x+2y>=12

3x + 5y >= 25

x >= 0

y >= 0

ii)P = 3x + y s.t.

x+3y<=9

5x + 2y <= 15

2x + 3y <= 10

x >= 0 and y >= 0