Nakashima Gallery had the following petty cash transactions in February of the current year. Nakashima uses the perpetual system to account for merchandise inventory.

February $2$ Wrote a $$340$ check to establish a petty cash fund.

February $5$ Purchased paper for the copier for $$15\mathrm{.}95$ that is immediately used.

February $9$ Paid $$42\mathrm{.}50$ shipping charges $($transportation$-$in$)$ on merchandise purchased for resale, terms FOB shipping point. These costs are added to merchandise inventory.

February $12$ Paid $$8\mathrm{.}05$ postage to deliver a contract to a client.

February $14$ Reimbursed Adina Sharon, the manager, $$67$ for mileage on her car.

February $20$ Purchased office paper for $$68\mathrm{.}77$ that is immediately used.

February $23$ Paid a courier $$17$ to deliver merchandise sold to a customer, terms FOB destination.

February $25$ Paid $$10\mathrm{.}30$ shipping charges $($transportation$-$in$)$ on merchandise purchased for resale, terms FOB shipping point. These costs are added to merchandise inventory.

February $27$ Paid $$55$ for postage expenses.

February $28$ The fund had $$24\mathrm{.}97$ remaining in the petty cashbox. Sorted the petty cash receipts by accounts affected and exchanged them for a check to reimburse the fund for expenditures.

February $28$ The petty cash fund amount is increased by $$80$ to a total of $$420.$

Required:

Prepare the journal entry to establish the petty cash fund.

Prepare a petty cash payments report for February with these categories: delivery expense, mileage expense, postage expense, merchandise inventory $($for transportation$-$in$),$ and office supplies expense.

Prepare the journal entries for required $2$ to both

$($a$)$ reimburse and

$($b$)$ increase the fund amount.