You have just been hired as a new management trainee by Earrings Unlimited, a distributor of earrings to various re

in shopping malls across the country. In the past, the company has done very little in the way of budgeting and at certain times of the

year has experienced a shortage of cash. Since you are well trained in budgeting, you have decided to prepare a master budget for

the upcoming second quarter. To this end, you have worked with accounting and other areas to gather the information assembled

below.

The company sells many styles of earrings, but all are sold for the same price $-$$$19$ per pair. Actual sales of earrings for the last three

months and budgeted sales for the next six months follow $($in pairs of earrings$)$:

The concentration of sales before and during May is due to Mother's Day. Sufficient inventory should be on hand at the end of each

month to supply $40\%$ of the earrings sold in the following month.

Suppliers are paid $$6\mathrm{.}00$ for a pair of earrings. One$-$half of a month's purchases is paid for in the month of purchase; the other half is

paid for in the following month. All sales are on credit. Only $20\%$ of a month's sales are collected in the month of sale. An additional

$70\%$ is collected in the following month, and the remaining $10\%$ is collected in the second month following sale. Bad debts have been

negligible.

Monthly operating expenses for the company are given below:

The company maintains a minimum cash balance of $$70,000.$ All borrowing is done at the beginning of a month; any repayments are

made at the end of a month.

The company has an agreement with a bank that allows the company to borrow in increments of $$1,000$ at the beginning of each

month. The interest rate on these loans is $1\%$ per month and for simplicity we will assume that interest is not compounded. At the end

of the quarter, the company would pay the bank all of the accumulated interest on the loan and as much of the loan as possible $($in

increments of $$1,000),$ while still retaining at least $$70,000$ in cash.