The Accounting team at Sheffield Corp. plans to jump start on its budget for the second quarter, since the first quarter is going well; team members want to determine the cash effects of the company's sales as well as its biggest production related cash expenditure, direct materials. The team has gathered the following data:

$1.-$ The budgeted selling price for the year is $$3\mathrm{.}60$ p$/$unit$.$ Sales volumes are budgeted as follows for the last month of quarter $1,$ for all of quarter $2,$ and for part of quarter $3.$

March April May June July August

$24,70022,70025,80026,30024,00026,100$

$2.$ Historically $25\%$ of Sheffield's sales are cash sales, of the remaining credit sales, $40\%$ are collected in the month of sale, while $56\%$ are collected the following month, any remainder is deemed uncollectable.

$3.$ Management sets its ending FG inventory goal at $10\%$ of the following month's sales volume. The Accounting team expects this policy will be met at the beginning of the second quarter.

$4.$ The target ending inventory for Sheffield's primary direct material is $20\%$ of the following months' production needs, since it's nit unusual for suppliers to stock out of this key resource. Each completed unit requires $4$ pounds of DM at an expected cost of $$0\mathrm{.}30$ per pound.

$5.$ Sheffield pays for $35\%$ of its purchases in the month of purchase and $65\%$ the month after purchase. Total budgeted purchases in March are $$16,600.$

$($a$)-$ Prepare sales forecast and corresponding cash receipts budget for Sheffield Corp for its second quarter.

$($b$)-$ Prepare Sheffield Corp production budget and DM purchases budget for the second quarter.

$($c$)-$ Prepare Sheffield Corp cash disbursement budget for the DM purchases for the second quarter.

$($e$)-$ Calculate how much total COGS p$/$u could be for the company to generate $40\%$ gross margin on its sales.

Considering DM cost p$/$u $,$ how much of this total COGS p$/$u is available to cover DL and MOH costs?