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    PracticeACCAACCA PM — Performance Management Practice Exam 3Question 22
    Hard2 marksMultiple Choice
    Decision-making techniquesPricing DecisionsOptimum PriceMR=MC

    ACCA · Question 22 · Decision-making techniques

    Section B - Case 2: CyberShield

    CyberShield is a tech startup developing a new B2B SaaS (Software as a Service) platform for cybersecurity.

    The company wants to find the profit-maximizing price. The demand equation is P = 200 - 0.02Q. The marginal cost (MC) of adding a new user is constant at $20 per month.

    What is the optimum selling price to maximize profit?

    Answer options:

    A.

    $90

    B.

    $110

    C.

    $20

    D.

    $200

    How to approach this question

    1. Find Marginal Revenue (MR) equation: MR = a - 2bQ. 2. Set MR = Marginal Cost (MC). 3. Solve for Q. 4. Substitute Q back into the demand equation (P = a - bQ) to find P.

    Full Answer

    B.$110✓ Correct
    1. Demand equation: P = 200 - 0.02Q (where a = 200, b = 0.02) 2. Marginal Revenue equation: MR = a - 2bQ = 200 - 0.04Q 3. Profit is maximized where MR = MC: 200 - 0.04Q = 20 180 = 0.04Q Q = 4,500 units 4. Substitute Q into the demand equation to find Price: P = 200 - 0.02(4,500) P = 200 - 90 = $110.

    Common mistakes

    Setting P = MC instead of MR = MC, or forgetting to substitute Q back into the price equation.
    Question 21All questionsQuestion 23

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