Tuesday

October 21, 2014

October 21, 2014

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?

**Answer this Question**

**Related Questions**

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

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

Math/ Calculus Please HELP!!! - A truck driver, on assignment from the owner of ...

math - Your Porsche's gas mileage (in miles per gallon) is given as a function M...

Math - A small truck is to be driven 300 miles on a freeway at a constant speed ...

math for the office professional - one of your delivery trucks traveled 1,200 ...

statistics - 16. Based on tests of the Chevrolet Cobalt, engineers have found ...

calculus - 16. Given the following information, determine the constant speed, ...

calculus - 16. Given the following information, determine the constant speed, ...

problem solving - Suppose your car gets 36 miles per gallon of gasoline, and you...