Math 1090
Quiz 2
February 9th, 2015
Answer the following 3 questions in the space provided. The value of every
question is indicated at the beginning. Time: 15 minutes.
Name:
UID:
Consider the following optimization problem
Maximize 3x + 5y
subject to 5x + 8y ≤ 64
y − x ≥ −5
x≥0
y≥0
1. (10 points) Graph the feasible region: label all the lines and shade in the region.
2. (7 points) Label the corners of the feasible region and find their coordinates.
3. (3 points) Evaluate the objective function at each of the corners and decide where is the
maximum attained.
4. (Extra Credit - 5 points) What is the maximum for the following problem?
Maximize 3x + 5y
subject to 5x + 8y ≥ 64
y − x ≥ −5
x≥0
y≥0
Page 2