A mining company estimates that the marginal cost of extracting x tons of copper ore from a mine is
0.8 + 0.008x,
measured in thousands of dollars per ton. Start-up costs are $150,000.
Set up an expression involving an integral that can be used to find the cost (in thousand $) of extracting the first 50 tons of copper.
+
50
0
0.8+0.008x
dx
What is the cost (in $) of extracting the first 50 tons of copper?
$
What is the cost (in $) of extracting the next 50 tons?
$