Consider the Following Linear Programming Problem

question 5

Essay

Consider the following linear programming problem
Max
8X + 7Y
s.t.
15X + 5Y ≤ 75
10X + 6Y ≤ 60
X + Y ≤ 8
X, Y ≥ 0
​
a.Use a graph to show each constraint and the feasible region.
b.Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution?
c.What is the optimal value of the objective function?

---

Definitions:

Venipuncture

The puncture of a vein, usually with a needle, for the purpose of drawing blood.

Phlebotomy

The insertion of a needle or cannula (small tube) into a vein for the purpose of withdrawing blood.

Evacuation system

A set of procedures and equipment designed for the safe exit of people from a building or area in case of emergency.

Interchangeable

Capable of being exchanged or substituted for each other without making any difference or without altering the function.