Lubriderm Corporation has the following budgeted unit sales for the next six$-$month period:

There were $30,000$ units of finished goods in inventory at the beginning of June. Plans are to have an inventory of finished products that equal $20\%$ of the unit sales

for the next month.

Five pounds of materials are required for each unit produced. Each pound of material costs $$8.$ Inventory levels for materials are equal to $30\%$ of the needs for the

next month. Materials inventory on June $1$ was $15,000$ pounds.

Required:

a$.$ Prepare production budgets in units for July, August, and September.

b$.$ Prepare a purchases budget in pounds for July, August, and September, and give total purchases in both pounds and dollars for each month.