Table 10-5
Maximize Z = 34 X 1 + 43 X 2 + 29 X 3
Subject to: 5 X 1 + 4 X 2 + 7 X 3 ≤ 50
1 X 1 + 2 X 2 + 2 X 3 ≤ 16
3 X 1 + 4 X 2 + 1 X 3 ≤ 9
all X i are integer and non-negative
Final Integer Solution: Z = 208
Decision
Variable Solution
X 1 1
X 2 0
X 3 6
-Table 10-5 represents a solution for an integer programming problem.If this problem had been solved as a simple linear programming problem,what would you expect the value of the objective function to be?
A)less than 208
B)greater than 208
C)exactly 208
D)A or C
E)B or C

Question

Table 10-5
Maximize Z = 34 X 1 + 43 X 2 + 29 X 3 
Subject to: 5 X 1 + 4 X 2 + 7 X 3 ≤ 50
1 X 1 + 2 X 2 + 2 X 3 ≤ 16
3 X 1 + 4 X 2 + 1 X 3 ≤ 9
all X i are integer and non-negative
Final Integer Solution: Z = 208
Decision
Variable Solution
X 1 1
X 2 0
X 3 6
-Table 10-5 represents a solution for an integer programming problem.If this problem had been solved as a simple linear programming problem,what would you expect the value of the objective function to be?
A)less than 208
B)greater than 208
C)exactly 208
D)A or C
E)B or C

Quizplus · Accepted Answer

The Answer of Table 10-5
Maximize Z = 34 X 1 + 43 X 2 + 29 X 3 
Subject to: 5 X 1 + 4 X 2 + 7 X 3 ≤ 50
1 X 1 + 2 X 2 + 2 X 3 ≤ 16
3 X 1 + 4 X 2 + 1 X 3 ≤ 9
all X i are integer and non-negative
Final Integer Solution: Z = 208
Decision
Variable Solution
X 1 1
X 2 0
X 3 6
-Table 10-5 represents a solution for an integer programming problem.If this problem had been solved as a simple linear programming problem,what would you expect the value of the objective function to be?
A)less than 208
B)greater than 208
C)exactly 208
D)A or C
E)B or C

Table 10-5 Maximize Z = 34 X1 + 43 X2 + 29

Table 10-5 Maximize Z = 34 X₁ + 43 X₂ + 29