a farmer sells his corn for $230 a metric ton with a small surcharge of $25. his neighbor sells her corn for $230 a metric ton and gives $15

Question

a farmer sells his corn for $230 a metric ton with a small surcharge of $25. his neighbor sells her corn for $230 a metric ton and gives $15 rebate. write the cost model equations for both farmers and find the amount of corn that makes the costs equal.

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Edana Edana 3 years 2021-08-14T15:53:02+00:00 1 Answers 12 views 0

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    2021-08-14T15:54:42+00:00

    Step-by-step explanation:

    Step one:

    The farmer sells his corn for $230 a metric ton

    small surcharge = $25.

    let the amount per metric ton be x

    and let the total cost per x metric ton be y

    the total cost function is

    y=230x+25————–1

    The neighbor sells her corn for $230 a metric ton

    he gives $15 rebate——A rebate is a partial refund of the cost of an item

    let the amount per metric ton be x

    and let the total cost per x metric ton be y

    the total cost function is

    y=230x-15—————-2

    Step two:

    Equating the two equation above

    230x+25=230x-15

    230x-230x=25+15

    0=40

    The result shows that based on the cost function of both farmer, there will never be an amount of corn that would make them have the same cost

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