17. a) Using the same axes; shade the region P of all points (x,y) which satisfy the following four inequalities simultaneously:
i) y ≥ 0
ii) x + 2y ≤ 4
iii) -x + 2y ≥ 1
iv) -2x + 5y ≤ 10
b) Use your diagram to find in the region P, the maximum and the minimum values of:
i) x
ii) 4-y
