For the production of olive oil, the olives are washed, crushed, malaxated, and separated into oil,

water and solid by centrifugation as in the following chart. The raw olives flow rate is set at $2000$

$k\frac{g}{h},$ Given:

$($a$)$ the composition of the raw olives is $20\%$ oil, $35\%$ water, and $45\%$ solid;

$($b$)$ the composition of the slurry stream in the decanter is $50\%$ solid and $50\%$ water;

$($c$)90\%$ of the oil is taken out of the first disc centrifuge; and

$($d$)$ the ratio of raw olives to water added in the decanter is equal to $1.$

Find the flow rate of each exit stream as shown in the flow chart.