1. The following diagram shows the constraints for a
LP model. Assume the point (0,0) satisfies constraint (B,J)
but does not satisfy constraints (D,H) or (C,I). Which set of
points on this diagram defines the feasible solution
space?
a. F, G, H, J
b. I, F, G, J
c. A, B, E, F, H
d. A, D, G, J
2. The objective function for a LP model is 3
X1 + 2 X2. If X1 = 20
and X2 = 10, what is the value of the objective
function?
a. 50
b. 60
c. 70
d. 80
3.
The following linear programming problem has been written to
plan the production of two products. The company wants to maximize
its profits.
X1 = number of product 1 produced in each
batch
X2 = number of product 2 produced in each
batch
MAX:
150 X1 + 250 X2
Subject to:
2 X1 + 5 X2 ≤ 200
3 X1 + 7 X2 ≤ 175
X1, X2 ≥ 0
How many units of resource two (the second constraint) are
unutilized if the company produces 10 units of product 1 and 5
units of product 2?
a. 110
b. 100
c. 155
d. 150