Inequality / linear systems - 30 points!

your friend is trying to find the maximum value of p = -x + 3y p = -x + 3y subject to the following four constraints (1st image shown):

• what error did your friend make in the graph shown below?
• what is the correct solution to maximize p?

They did not include the constraint for y ≤x+3 on the graph.

See attached picture with added constraint.

Using the 4 points that are given as the solution on the graph, replace t he x and Y in the original equation to solve and see which is the greater value.

Point (0,3) P = -0 +3(3) = 0+9 = 9

Point (1,4) P = -1 + 3(4) = -1 +12 = 11

Point (0,0) P = -0 + 3(0) = 0 + 0 = 0

Point (3,0) P = -3 + 3(0) = -3 + 0 = -3

The correct solution to maximize P is (1,4)

its 50 miles away from the starting point