Thursday

December 18, 2014

December 18, 2014

Posted by **Chris** on Sunday, March 24, 2013 at 10:27pm.

If the truck driver earns $20 per hour what speed v should the truck driver be assigned to drive in order to keep the cost for the owner of the company as low as possible? Find the minimum cost and compare it to the cost when the driver drives at 55 and 70 miles per hour

- Math/ Calculus - typo -
**Steve**, Monday, March 25, 2013 at 11:51amI think you have a typo in the gas consumption expression. As it stands, why not just express it as (401/400) v^2?

Anyway, the trip takes 300/v hours to drive.

the cost for the driver is 20*300/v for driving time

the cost of gas is 2.60*(gals/hr)(300/v)

add them up, plug in values for v, and find where dc/dv=0 for minimum cost.

**Answer this Question**

**Related Questions**

Calculus/ Optimization - A truck driver, on assignment from the owner of the ...

calculus - Suppose that the cost of operating a truck in Mexico is cents per ...

physics - A certain truck can slow at a maximum rate of 4.6 m/s2 in an emergency...

physic - A police car is travelling in a straight line with constant speed vp.A...

Calculus - You are the owner of a delivery company with one truck. The trucks ...

Calculus - A straight driveway perpendicular to a straight highway leads to a ...

physics - A car is behind a truck going 23.0 m/s on the highway. The driver ...

Physics - A truck of mass 8,000 kg is traveling along a level road at an initial...

Calculus - You are the owner of a delivery company with one truck. The trucks ...

Math - Jim rents a truck. There is a fee of $15.99, there was an additional ...