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GATE 2020: Industrial Engineering Quiz 1
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Question 1
Consider the following linear programming problem:
Maxmize Z=2A + 3B, Subject to A + B10, 4A + 6B30, 2A+B17, A, B0
What can one say about the solution?
Maxmize Z=2A + 3B, Subject to A + B10, 4A + 6B30, 2A+B17, A, B0
What can one say about the solution?
Question 2
The role of artificial variables in the simplex method is:
Question 3
Consider the problem, max Z = x1 + x2 subjected to
x1 + 2x2 <= 2000
x1 + x2 <= 1500
x2 <= 600 and
x1, x2 > = 0. The maximum profit obtained is
x1 + 2x2 <= 2000
x1 + x2 <= 1500
x2 <= 600 and
x1, x2 > = 0. The maximum profit obtained is
Question 4
A company produces two types of toys: P and Q. Production time of Q is twice that of P and the company has a maximum of 2000 time units per day. The supply of raw material is just sufficient to produce 1500 toys (of any type) per day. Toy type Q requires an electric switch which is available @ 600 pieces per day only. The company makes a profit of Rs.3 and Rs.5 on type P and Q respectively. For maximization of profits, the daily production quantities of P and Q toys should respectively be
Question 5
A linear programming problem is shown below has _____.
Maximize Z= 3x + 7y
Subject to 3x + 7y ≤ 10
4x + 6y ≤ 8
x, y ≥ 0
Maximize Z= 3x + 7y
Subject to 3x + 7y ≤ 10
4x + 6y ≤ 8
x, y ≥ 0
Question 6
Consider the following Linear Programming Problem (LPP):
Maximize z = 3x1 + 2x2
Subject to x1 ≤ 4
x2 ≤ 6
3x1 + 2x2 ≤ 18
x1 ≥ 0, x2 ≥ 0
Maximize z = 3x1 + 2x2
Subject to x1 ≤ 4
x2 ≤ 6
3x1 + 2x2 ≤ 18
x1 ≥ 0, x2 ≥ 0
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