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AP Intermediate 2nd Year Linear Programming — practice questions — page 3

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 61–90 of 97.

Points within and on the boundary of the feasible region are:Read the answer and worked solution →Linear programming problems here are solved by which method?Read the answer and worked solution →The optimal value of Z occurs at which points of the region?Read the answer and worked solution →If the feasible region R is bounded, Z has:Read the answer and worked solution →If the feasible region is unbounded, an optimum may:Read the answer and worked solution →A feasible region is bounded if it can be:Read the answer and worked solution →The region other than the feasible region is called:Read the answer and worked solution →Theorem 1 describes the feasible region as a:Read the answer and worked solution →Corner points of a feasible region are also called its:Read the answer and worked solution →A linear programming problem must have constraints that are:Read the answer and worked solution →Some problems minimise a linear function subject to given:Read the answer and worked solution →A feasible region is bounded if it can be:Read the answer and worked solution →The region other than the feasible region is called:Read the answer and worked solution →Theorem 1 describes the feasible region as a:Read the answer and worked solution →Corner points of a feasible region are also called its:Read the answer and worked solution →Linear programming is a class of which problems?Read the answer and worked solution →The region satisfying all constraints is called:Read the answer and worked solution →Some problems minimise a linear function subject to given:Read the answer and worked solution →A linear programming problem must have constraints that are:Read the answer and worked solution →True or false about linear programmingRead the answer and worked solution →Name the LPP partRead the answer and worked solution →Linear programming bingoRead the answer and worked solution →Order the graphical methodRead the answer and worked solution →Match the LPP termRead the answer and worked solution →Complete the LPP ruleRead 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 →A point outside the feasible region is an:Read the answer and worked solution →Points within and on the boundary of the feasible region are:Read the answer and worked solution →

Worked practice questions

Points within and on the boundary of the feasible region are:

  1. Infeasible points
  2. Objective values
  3. Unbounded values
  4. Feasible solutions
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Correct answer: D. Feasible solutions

1. The boundary lines are part of the region. 2. Every point up to and including them satisfies the constraints. 3. So they represent feasible solutions. 4. The answer is feasible solutions. _Source: syllabus Mathematics, Ch 12 'Linear Programming'_

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Linear programming problems here are solved by which method?

  1. Graphical
  2. Numerical
  3. Iterative
  4. Recursive
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Correct answer: A. Graphical

1. The constraints are drawn as lines on a plane. 2. The region between them is then read off. 3. So the problems are solved by the graphical method. 4. The answer is graphical. _Source: syllabus Mathematics, Ch 12 'Linear Programming'_

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The optimal value of Z occurs at which points of the region?

  1. Outside points
  2. Corner points
  3. Middle points
  4. Random points
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Correct answer: B. Corner points

1. Theorem 1 pins the optimum to the boundary. 2. Specifically it lands on a vertex of the polygon. 3. So the optimum occurs at a corner point. 4. The answer is corner points. _Source: syllabus Mathematics, Ch 12 'Linear Programming'_

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