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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