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January 29, 2015

January 29, 2015

Posted by **Becky** on Thursday, November 17, 2011 at 5:17pm.

If a delivery 100 miles away is planned, at what speed between 80 and 110 mph should the truck to drive to minimize the cost of the trip?

Can someone explain step by step how to do this? I have no idea how to approach it.

Thanks in advance!

- Calculus -
**bobpursley**, Thursday, November 17, 2011 at 5:26pmcost= 8t+fuel cost.

fuel cost= cost per gallon*gallons needed

= 1*100/(1200/x)

But t= 100miles/x

cost= 8*100/x + x/12 check that

dcost/dx=0=-800/x^2 + 1/12

x^2=9600

x= you do it.

- Calculus -
**Set5**, Thursday, November 17, 2011 at 10:37pmhow do you check?

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