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# D1 Linear Programming Graphically help please! watch

1. 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?

Aqua

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