Hi, I was doing a linear programming question which was:
The objective function is P= 300x + 500y
Subject to the constraints:
7x + 8y ≤ 112
x + 2y ≤ 20
2x + 3y ≤ 33
x ≥ 0
y ≥ 0
a) On graph paper, illustrate all the inequalities, indicating clearly the feasible region. (I have done this part of the Q already)
b) Determine the number of x and y that should be made each week and the maximum profit gained.
This was the bit that I was confused about because I wasn't sure what the last point that the objective line touched before leaving the feasible region. Would it be the point where lines 2x+3y=33 and
x+2y=20 meet which means that x = 6, y = 7 and the maximum profit = £5300?
Thank you for all your help in advance,
...and how to stay positive