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.
Question
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