The cost of fuel per km for a truck travelling at a speed v[km/h] is given by #C(v)=v/100+25/v#. (a) What speed result in the lowest fuel cost per km (b) Assume the driver is paid #$40/h#. What speed would give the lowest cost, including wage for 1000Km?
1 Answer
Feb 10, 2018
(a)
Explanation:
(a) We seek to find
Use either the first or second derivative test to verify that
(b)
For a trip of 1,000 km we will have
Fuel cost
The time required is
The total cost is
# = 10v +65000/v#
We seek