Jones' Javelins plc has recorded the following sales:

January $\pounds 10,000$

February $\pounds 20,000$

March $\pounds 22,000$

$60\%$ of sales are paid for immediately in cash. Of the remaining $40\%,$ half are paid for $1$ month later, $40\%$ are paid for $2$ months later, and $10\%$ become bad debts.

How much cash is received in March from sales?$$