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    PracticeACCAACCA PM — Performance Management Practice Exam 4Question 07
    Medium2 marksMultiple Choice
    Decision-making techniquesLinear ProgrammingDecision MakingSection A

    ACCA · Question 07 · Decision-making techniques

    Section A

    GreenFields Farm uses linear programming to determine the optimal mix of two crops (Wheat and Barley) to plant, given constraints on land and fertilizer. The optimal solution has been found, and the shadow price for fertilizer is calculated to be $15 per kg.

    Which of the following best describes the meaning of this shadow price?

    Answer options:

    A.

    GreenFields Farm should sell its fertilizer if it can get more than $15 per kg.

    B.

    The total cost of fertilizer in the optimal production plan is $15 per kg.

    C.

    GreenFields Farm would be willing to pay up to a maximum premium of $15 per kg above the normal price for one additional kg of fertilizer.

    D.

    If fertilizer supply decreases by 1 kg, the total revenue of the farm will decrease by $15.

    How to approach this question

    Recall the definition of a shadow price in linear programming: it is the extra contribution generated by having one more unit of a binding constraint.

    Full Answer

    C.GreenFields Farm would be willing to pay up to a maximum premium of $15 per kg above the normal price for one additional kg of fertilizer.✓ Correct
    In linear programming, the shadow price of a binding constraint is the increase in total contribution that would be created by having one additional unit of that limiting resource. Because it represents the extra contribution, it is also the maximum *premium* (above the normal variable cost) the business should be willing to pay to acquire one more unit.

    Common mistakes

    Confusing shadow price with the total purchase price of the resource, or confusing contribution with revenue.
    Question 06All questionsQuestion 08

    Practice the full ACCA PM — Performance Management Practice Exam 4

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