-3
$\begingroup$

A trucking company has hired you to determine the optimal highway speed, v, they should require of their drivers to minimize cost. The decision is to be based solely on economic grounds. You only need to consider:

1) driver's hourly wage (W) , and

2) price of fuel (P) , measured in $ per gallon.

The formula for the rate of fuel consumption is:

r = 9.34(miles/gallon) -0.0596(hours/gallon)*v

where r is in miles per gallon and v is in miles per hour.

Determine the formula that would be used to calculate the optimal speed for any values of W and P.

I have been stuck on this question for several hours now. I dont know how to get the mpg into the equation. Also do I have to use the formula for the rate of fuel consumption? Any advice on where or how to start would be great.

$\endgroup$

closed as off-topic by user44191, Alexey Ustinov, Yemon Choi, RP_, David Roberts Apr 16 at 6:14

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "MathOverflow is for mathematicians to ask each other questions about their research. See Math.StackExchange to ask general questions in mathematics." – user44191, Alexey Ustinov, Yemon Choi, RP_, David Roberts
If this question can be reworded to fit the rules in the help center, please edit the question.