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15 February, 20:48

Machine A has a fixed daily cost of $20 and a variable cost of $1.00 per item produced. Machine B has a fixed daily cost of $10 and a variable cost of $1.50 per item produced. (a) What is the number of items x for which the total daily cost C (in dollars) of each machine will be the same

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  1. 15 February, 21:16
    0
    20 units

    Explanation:

    Data provided in the question:

    Machine A has a fixed daily cost = $20

    Variable cost of machine A = $1.00

    Machine B has a fixed daily cost = $10

    Variable cost of machine B = $1.50

    Now,

    According to the question

    Total cost for Machine A = Total cost for the machine B

    or

    $20 + $1.00x = $10 + $1.50x

    or

    ($1.50 - $1.00) x = $20 - $10

    or

    $0.50x = $10

    or

    x = 20 units
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