Farmersville Corporation has the following budgeted sales for the selected six$-$month period: There were $7,500$ units of finished goods in inventory at the beginning of January. Plans are to have an inventory of finished product equal to $20$ percent of the unit sales for the next month. Three pounds of materials are required for each unit produced. Each pound of material costs $\backslash (\backslash$$ $20\backslash ).$ Inventory levels for materials equal $30$ percent of the needs for the next month. Materials inventory on January $1$ was $5,000$ pounds. Required: a$.$ Prepare production budgets in units for February and March, b$.$ Prepare a purchases budget in pounds and dollars for February and March.