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

1. 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