$5.$ Focus Pocus sells lenses for $\backslash (\backslash$$ $45\backslash )$ each and is estimating sales of $15,000$ units in January and $18,000$ in February. Each lens consists of $2$ pounds of silicon costing $\backslash (\backslash$$ $2\mathrm{.}50\backslash )$ per pound, $3$ oz of solution costing $\backslash (\backslash$$ $3\backslash )$ per ounce, and $30$ minutes of direct labor at a labor rate of $\backslash (\backslash$$ $18\backslash )$ per hour. Desired inventory levels are:

Prepare a sales budget, production budget, direct materials budget for silicon and solution, and a direct labor budget.

$6.$ Judge's Gavel uses this information when preparing their flexible budget: direct materials of $\backslash (\backslash$$ $3\mathrm{.}50\backslash )$ per unit, direct labor of $\backslash (\backslash$$ $2\mathrm{.}75\backslash )$ per unit, and manufacturing overhead of $\backslash (\backslash$$ $1\mathrm{.}25\backslash )$ per unit. Fixed costs are $\backslash (\backslash$$ $49,000\backslash ).$ What would be the budgeted cost of goods manufactured for $33,000$ and $35,000$ units?

$7.$ OfficeMart Inc. has "cash and carry" customers and credit customers. OfficeMart estimates that $\backslash (30\backslash \%\backslash )$ of monthly sales are to cash customers, while the remaining sales are to credit customers. Of the credit customers, $\backslash (40\backslash \%\backslash )$ pay their accounts in the month of sale, while the remaining $\backslash (60\backslash \%\backslash )$ pay their accounts in the month following the month of sale. Projected sales for the next three months are as follows:

The Accounts Receivable balance on July $30$ was $\backslash (\backslash$$ $35,000\backslash ).$

Prepare a schedule of cash collections from sales for August, September, and October.