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ACSEE (Form 6) Linear Programming — practice questions

Explore 9 free Linear Programming questions in ACSEE (Form 6) Advanced 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 1–9 of 9.

Solve a linear programming problemRead the answer and worked solution →Which way does the inequality face?Read the answer and worked solution →Spot the impostor corner pointRead the answer and worked solution →A gardener needs AT LEAST 10 units of chemical A. A jar gives 5 units and a carton 1 unit. The constraint is:Read the answer and worked solution →Two depots hold 180 and 250 tons; two customers order 200 and 150 tons. After the cheapest delivery plan, the tonnage left at depot D2 is:Read the answer and worked solution →Fix the constraintRead the answer and worked solution →Maximise or minimise?Read the answer and worked solution →Fault the wrong LP stepsRead the answer and worked solution →Linear programming, true or falseRead the answer and worked solution →

Worked practice questions

Solve a linear programming problem

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Steps
  1. Read the word problem and name the variables
  2. Write the objective function
  3. Write each constraint as an inequality
  4. Sketch the inequalities on the xy-plane
  5. Read off the corner points of the feasible region
  6. Evaluate the objective at every corner point
  7. Choose the corner giving the best value
Instructions
Tap the steps in the order they are carried out.

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Which way does the inequality face?

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Left
≤ (at most)
Items
  1. Item
    at most 24 items a day
    Answer
    ≤ (at most)
  2. Item
    maximum of 16 hours available
    Answer
    ≤ (at most)
  3. Item
    needs 80 tons of high grade ore
    Answer
    ≥ (at least)
  4. Item
    needs 160 tons of medium grade
    Answer
    ≥ (at least)
  5. Item
    no more than 24 can be made
    Answer
    ≤ (at most)
  6. Item
    at least 200 tons are required
    Answer
    ≥ (at least)
Right
≥ (at least)
Instructions
Swipe each phrase to the sign it forces.

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Spot the impostor corner point

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Questions
  1. Items
    1. (80, 0)
    2. (40, 20)
    3. (20, 50)
    4. (60, 30)
    Odd item
    (60, 30)
  2. Items
    1. (0, 100)
    2. (40, 20)
    3. (20, 50)
    4. (10, 10)
    Odd item
    (10, 10)
Instructions
Three points are corners of the mine's feasible region. Tap the one that is not.

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