Halifax Fitness Consulting completed the following petty cash transactions during February $2023$: Feb. $2$ Prepared a $$3,360$ cheque, cashed it$,$ and gave the proceeds and the petty cash box to Nick Reed, the petty cashier. $5$ Purchased paper for the copier, $$202.9$ Paid $$350$ COD charges on merchandise purchased for resale. Assume Halifax Fitness Consulting uses the perpetual method to account for merchandise inventory. $12$ Paid $$160$ postage to express mail a contract to a client. $14$ Reimbursed Kim Marin, the manager of the business, $$1,388$ for business auto expenses. $20$ Purchased stationery, $$613.23$ Paid a courier $$15$ to deliver merchandise sold to a customer. $25$ Paid $$38$ COD charges on merchandise purchased for resale. $28$ Paid $$46$ for stamps. $28$ Reed sorted the petty cash receipts by accounts affected and exchanged them for a cheque to reimburse the fund for expenditures. However, there was only $$8$ in cash in the fund. In addition, the size of the petty cash fund was increased to $$7,500.$ Required: $1.$ Prepare a journal entry to record establishing the petty cash fund. $2.$ Prepare a summary of petty cash payments. $3.$ Prepare the journal entry to record the reimbursement and the increase of the fund.