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Solution Key: Level 0 (LPP Foundation Drill)
Student Name: ____________________________________ Class: 12 Subject: Mathematics
Section 1: Introduction & Graphical Terminology
1.
Ans: Linear Programming Problem
2.
Ans: Objective
3.
Ans: Decision
4.
Ans: Non-negative
5.
Ans: Feasible
6.
Ans: Feasible
7.
Ans: Optimal
8.
Ans: Infeasible
9.
Ans: True
10.
Ans: True
Section 2: Mathematical Formulation of Word Problems
11.
Ans: Minimize
12.
Ans: Maximize
13.
Ans: $\le$ (Less than or equal to)
14.
Ans: $\ge$ (Greater than or equal to)
15.
Ans: Objective function
Section 3: Corner Point Method & Types of Regions
16.
Ans: Corner point (or vertex)
17.
Ans: Bounded
18.
Ans: Unbounded
19.
Ans: Yes
20.
Ans: $>$
21.
Ans: $<$
22.
Ans: $20$ (Since $3(0) + 4(5) = 20$)
23.
Ans: $20$ (Since $5(4) + 2(0) = 20$)
Section 4: Types of Solutions & Iso-Profit Method
24.
Ans: Unique
25.
Ans: Infinite (or infinitely many)
26.
Ans: On the line segment joining the two corner points.
27.
Ans: Infeasible
28.
Ans: False (It either has one, none, or infinite).
29.
Ans: Iso-profit
30.
Ans: True