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13 February, 04:40

Partridge Co. can further process Product J to produce Product D. Product J is currently selling for $21 per pound and costs $15.75 per pound to produce. Product D would sell for $37 per pound and would require an additional cost of $9.25 per pound to produce. What is the differential cost of producing Product D? what is the differential revenue of producing Product D?

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  1. 13 February, 06:25
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    Differential cost = $9.25

    Differential revenue = $16

    Explanation:

    As the name suggest, differential cost is the difference between the costs of two alternative options. Now in this question, Patridge Co. has two products, PJ AND PD, one of which (i. e PD) can be produced by further processing an already produced product (i. e PJ). But for the production of product D, Patridge Co. would have to incur additional cost of $9.25 per pound.

    The formula for differential cost is as follows;

    Differential cost = total cost of alternative J - total cost of alternative D

    Differential cost = $15.75 - ($15.75+$9.25)

    Differential cost = $9.25

    Differential revenue is similarly the difference between the revenue generated by two alternatives. In this question product J sells for $21 whereas product D sells for $37 so the differential revenue would be as follows:

    Differential revenue = revenue of alternative D - revenue of alternative J

    Differential revenue = $37 - $21

    Differential revenue = $16
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