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29 May, 10:30

A manufacturer of laptop computers has a 75 percent customer retention rate. Their accounting department estimates the incremental contribution to profit and overhead as 35 percent. On average, customers purchase the laptop every two and a half years at an average cost of $750. Determine the average value of a loyal customer.

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  1. 29 May, 11:14
    0
    Answer: The answer is $420

    Explanation

    Using the formula

    Price * contribution margin * Average retention time * Customer retention rate

    Price = $750

    Contribution margin = 35% (35 : 100) = 0.35

    Average retention time = two and half years

    Customer retention rate = 75% (1 - 0.75) = 0.25

    750 0.35 * 1/2.5 * 1/0.25

    = 750 * 0.35 * 0.4 * 4

    = 420

    Therefore the average value of a loyal customer is $420
  2. 29 May, 13:02
    0
    Retention rate = 75%

    Contribution to profit and overhead = 35%

    Purchase laptop every 2,5 years (1/2.5=0.4 per year)

    Average cost = $750

    Value of loyal customer =

    = Price * Purchase frequency * Gross margin * 1 / (1-Retention rate)

    Value of loyal customer = 750*0.4*0.35*1 / (1-0.75) = 750*0.4*0.35*1/0.25 = $420
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