Submission guideline: You may draw using a software package. Or you may draw on a paper and take pictures for submission.

If you have A and B as the two variables, please let A as the horizontal axis, and B as the vertical one. If you have X1 and X2 as the two variables, please let X1 as the horizontal axis, and X2 as the vertical one.

1. Page 61: 1

2. Page 61: 3 (must include the points or Slope/Intercept which you used to determine the line)

3.

Max 4X1 + 2X2

s.t. 5X1 + 10X2 < 30 (1)

2X1 + 8X2 < 16 (2)

2X1 > 3 (3)

X1, X2 > 0

Please 1) Draw the boundary straight line for each constraint. Must show the points used (or slope/Intercept if used).

2) Indicate what region should be selected for each of the constraints.

3) Shade the feasible region for the LP problem.