Central Manufacturing, Inc. is preparing budgets for the second quarter of the year. Central produces only one product in its factory. This product requires $4$ pounds of material $C,3$ pounds of material $H,$ and a component, $M,$ that is purchased from another manufacturer. Central operates on a just$-$intime basis for material C$.$ As a result, Central maintains no inventory of material C$.$ On April $1,$ the inventory of material $H$ is expected to be $5,000$ pounds and the inventory of component $M$ is expected to be $1,800$ units. Central wants the inventories of $H$ and $M$ at June $30,$ to be $20\%$ less than the inventories at April $1.$ The inventory of finished products at March $31,$ is expected to be $4,000$ units; the desired inventory at June $30,$ is $6,000$ units to allow a buildup for heavy sales in the third quarter. The sales forecast for the second quarter is $16,000$ units at $$200$ each. Budgeted purchase costs are $$5$ per pound for $C,$$$6$ per pound for $H,$ and $$50$ per component for $M.$

Do not use negative signs with any of your answers below.

a$.$ Prepare the production budget for the second quarter of the year.

$\backslash$table$[[\backslash$table$[[$Central Manufacturing, Inc.$],[$Production Budget$],[$For the Quarter Ended June $30$