question 1. Which of the mathematical relationships could be found in a followin
ID: 408326 • Letter: Q
Question
question 1. Which of the mathematical relationships could be found in a following linear programming model? For the relationships that are unacceptable for linear programs, choose the reason why.
a. 1A + 2B 70 is it linear or non linearship?
b. 2A 2B = 50 is it linear or non linearship?
c. 1A 2B2 10 is it linear or non linearship?
d. 3 A + 2B 15 is it linear or non linearship?
e. 1A + 1B = 6 is it linear or non linearship?
f. 2A + 5B + 1AB 25 is it linear or non linearship?
question 2. Select the correct graph of the constraint lines and the solutions that satisfy each of the following constraints.
A 0.25 (A+B)
1. 2.
4.
b. B 0.10 (A+B)
1. 2.
3. 4.
c. A 0.50 (A+B)
1. 2.
3.
question 3. For the linear program
Max
4A
+
6B
s.t.
2A
+
6B
18
5A
+
3B
15
A, B 0
select the correct graph that identifies the optimal solution.
x0 = 1.5
y1 = 2.5
y2 = 2.5
1. optimal solution A=3, B=0
2. optimal solution A=0, B=5
3. Optimal solution A=3/2, B=5/2
4. optimal solution A=9, B=0
Max
4A
+
6B
s.t.
2A
+
6B
18
5A
+
3B
15
A, B 0
Explanation / Answer
Q1.
a. Linear. All variables are first degree and the highest degree is 1
b. Linear: All variables are first degree and the highest degree is 1
c. Non-Linear:- Variable B has degree 2
d.Non Linear:- Variable A has degree 1/2
e. Linear :- All variables are first degree and the highest degree is 1
f. Non Linear: Though variables are first degree, the product of two variables make thedegree of equation Two. Hence equation is non linear.
question 2 and Question 3 is not properly printed as graphs are not present.
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