Kayak requires a minimum cash balance of $$30,000$ at each month$-$end. Loans taken to meet this

requirement charge $1\%,$ interest per month, paid at each month$-$end. The interest is computed based on

the beginning balance of the loan for the month. Any preliminary cash balance above $$30,000$ is used

to repay loans at month$-$end. The company has a cash balance of $$30,000$ and a loan balance of

$$60,000$ at January $1.$

Prepare monthly cash budgets for January, February, and March.

Note: Negative balances and Loan repayment amounts $($if any$)$ should be indicated with minus sign.