Saturday

January 31, 2015

January 31, 2015

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.

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