$1.$ LPD Logistics, Inc.$\text{'}$s projected sales for the first six months of $2010$ are given below.

Assignment: Test $2$ inclass portion

Jan.

$$300\mathrm{.}000$

April

$$350,000$

Feb.

$$350,000$

May

$$500,000$

Mar.

$$475\mathrm{.}000$

June

$$400\mathrm{.}000$

$20\%$ of sales are collected in the month of the sale, $75\%$ are collected in the month following the sale, and $5\%$ are written off as uncollectible. Cost of goods sold is $80\%$ of sales. Purchases are made the month prior to the sales and are paid during the month the purchases are made $($i$.$e$.$ goods sold in March are bought and paid for in February$).$ Total other cash expenses are $$35,000/$month$.$

The company's cash balance as of February $1.2010$ will be $$30,000.$ Excess cash will be used to retire short $-$ term borrowing $($if any$).$

LPD has no short term borrowing as of February $28,2010.$ Assume that the interest rate on short $-$ term borrowing is $1\%$ per month. The company must have a minimum cash balance of $$20\mathrm{.}000$ at the beginning of each month. What is LPD$\text{'}$s projected total disbursements for April?