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17 August, 05:44

Suppose that the purchase price for a piece of equipment is $12,000, with operational costs of $400 per day. If the same equipment can be leased for $800 per day (inclusive of operational costs), after how many days will the lease cost equal the purchase cost?

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  1. 17 August, 06:07
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    after 30 days lease cost equal the purchase cost

    Explanation:

    Data provided in the question:

    Purchasing cost of the equipment = $12,000

    operational costs = $400 per day

    Lease amount for the equipment = $800 per day

    Now,

    Let the number of days after which lease cost equal the purchase cost be 'x'

    therefore,

    Total cost when purchased = $12,000 + $400x

    Total cost when equipment is leased = $800x

    therefore,

    for equal costs

    $12,000 + $400x = $800x

    or

    $800x - $400x = $12,000

    or

    $400x = $12,000

    or

    x = 30 days

    hence,

    after 30 days lease cost equal the purchase cost
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