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AP Intermediate 2nd Year Linear Programming — practice questions — page 2

Explore 97 free Linear Programming questions in AP Intermediate 2nd Year Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Linear Programming questions and exercises with answers

Showing questions 31–60 of 97.

If the feasible region of an LPP is bounded, then the objective function $Z$ has:Read the answer and worked solution →Maximise $Z = 3x + 2y$ over the corner points $(0,0),\ (4,0),\ (0,5),\ (2,3)$. The maximum value is:Read the answer and worked solution →Minimise $Z = x + y$ over the corner points $(5,0),\ (0,4),\ (1,1)$. The minimum value is:Read the answer and worked solution →In an LPP, the decision variables are required to be:Read the answer and worked solution →The graph of a linear inequality such as $2x + 3y \le 12$ represents:Read the answer and worked solution →The corner points of a feasible region are obtained as the:Read the answer and worked solution →If the feasible region of an LPP is empty, then the problem has:Read the answer and worked solution →The word 'linear' in linear programming indicates that the objective function and constraints are:Read the answer and worked solution →The sample space of a single throw of a fair six-faced die isRead the answer and worked solution →If a fair coin is tossed once, the probability of getting a HEAD isRead the answer and worked solution →A fair die is rolled. The probability of getting an ODD number isRead the answer and worked solution →Two fair dice are rolled. The probability that the SUM of the numbers showing is 7 isRead the answer and worked solution →For any two events $A$ and $B$, the probability of $A \cup B$ (A or B) is given byRead the answer and worked solution →A card is drawn from a well-shuffled standard deck of 52 cards. The probability of drawing a KING isRead the answer and worked solution →A fair die is rolled. The probability of getting a PRIME number isRead the answer and worked solution →Match the LPP termRead the answer and worked solution →Order the graphical methodRead the answer and worked solution →True or false about linear programmingRead the answer and worked solution →Feasible or infeasible?Read the answer and worked solution →Complete the LPP ruleRead the answer and worked solution →Name the LPP partRead the answer and worked solution →Linear programming numbersRead the answer and worked solution →Linear programming bingoRead the answer and worked solution →Linear programming problems seek to maximise or:Read the answer and worked solution →Linear programming is a class of which problems?Read the answer and worked solution →The function to be maximised or minimised is the:Read the answer and worked solution →The restrictions on the variables are called:Read the answer and worked solution →The conditions x >= 0 and y >= 0 are called:Read the answer and worked solution →The region satisfying all constraints is called:Read the answer and worked solution →A point outside the feasible region is an:Read the answer and worked solution →

Worked practice questions

If the feasible region of an LPP is bounded, then the objective function $Z$ has:

  1. only a minimum value
  2. no optimal value
  3. only a maximum value
  4. both a maximum and a minimum value
Show answer and solution

Correct answer: D. both a maximum and a minimum value

On a bounded feasible region a linear Z attains both a maximum and a minimum (at corner points).

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Maximise $Z = 3x + 2y$ over the corner points $(0,0),\ (4,0),\ (0,5),\ (2,3)$. The maximum value is:

  1. 10
  2. 15
  3. 6
  4. 12
Show answer and solution

Correct answer: D. 12

Evaluate Z=3x+2y: (0,0)→0, (4,0)→12, (0,5)→10, (2,3)→12. Maximum = 12.

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Minimise $Z = x + y$ over the corner points $(5,0),\ (0,4),\ (1,1)$. The minimum value is:

  1. 4
  2. 5
  3. 0
  4. 2
Show answer and solution

Correct answer: D. 2

Evaluate Z=x+y: (5,0)→5, (0,4)→4, (1,1)→2. Minimum = 2.

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