There is a whole milk separation process. Consider a flow of $17,000$ kg$/$h to the separation unit, with a $\%$wt fat of $30\%.$ It is desired to produce partially skimmed milk, with $15\%$ by weight of fat and also milk cream with a fat content of $60\%$ by weight.

The total mass of fat input to the process is $($in kg$)$:

a$)1700$

b$)5100$

c$)11900$

d$)17000$