must solve the following exercise:

A producer of wine in Italy forecasted that next January$22$ the sales will be $50,000$ and that these sales will increase in a $10\%$ per month during the next six months.

We assume that all sales are received the same month and all payments are done the same month.

The gross profit of that wine producer is a $20\%.$

At origin $($Jan$22)$ that company counts with $100,000$ cash

On Feb$22,$ the company will have to invest $80,000$ in a new dozing machine. On March$22,$ they$$ll have to buy a new bottling machine that costs $70,000$

$1-$ Show the cash budget for the next six$-$months period, starting Jan$22$

$2-$ Is there any need of funds? If so$,$ when?

$3-$ In case of any need of funds, how could you get rise those funds? Why?