$6-20$ Revenues and production budget. Purity, Inc., bottles and distributes mineral water from the company's natural springs in northern Oregon. Purity markets two products: twelve$-$ounce disposable plastic bottles and four$-$gallon reusable plastic containers.

For $2012,$ Purity marketing managers project monthly sales of $400,000$ twelve$-$ounce bottles and $100,000$ four$-$gallon containers. Average selling prices are estimated at $$0\mathrm{.}25$ per twelve$-1$ ounce bottle and $$1\mathrm{.}50$ per four$-$gallon container. Prepare a revenues budget for Purity, Inc., for the year ending December $31,2012.$

Purity begins $2012$ with $900,000$ twelve$-$ounce bottles in inventory. The vice president of operations requests that twelve$-$ounce bottles ending inventory on December $31,2012,$ be no less than $600,000$ bottles. Based on sales projections as budgeted previously, what is the minimum number of twelve$-$ounce bottles Purity must produce during $2012?$

The VP of operations requests that ending inventory of four$-$gallon containers on December $31,2012,$ be $200,000$ units. If the production budget calls for Purity to produce $1,300,000$ fourgallon containers during $2012,$ what is the beginning inventory of four$-$gallon containers on January $1,2012?$