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`f(L,K)=10L^(0.4)K^(0.6)`

gives the number of widgets produced using

`L`

hours of labor and

`K`

dollars of capital. Check:

`f(2,3)=25.50849001`

Find the number of labor hours needed to produce 10,000 widgets if

`$6,427`

of capital is used. Round your answer to 3 decimal places. Do NOT include units.