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.

Answer 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