Im working on this assignment for tomorrow and not sure about how to start plugging away at it. Note the "<" and ">" are supposed to be greater than or equal to signs.

Consider the following linear programming problem:

Objective function:

B = x − y

Constraints:

x

− 2y <0

2x − y <6

x >

0

y >

0

Determine both the maximum and minimum value of B subject to the constraints. In each case, either explain why there is no maximum or minimum, or give the point(s) at which the maximum or minimum occurs.

Clearly label your graph, showing the feasible set and all corner points. Drawing an isoprofit line to see what the objective function looks like will help you to determine if there is a maximum/minimum.