On January $1,2023,$ the Drona Company budget committee reached agreement on the following data for the six months ending June $30,2023$:

$1.$Sales units: First quarter $9,000$; second quarter $9,800$; third quarter $12,000$

$2.$Ending raw materials inventory: $50\%$ of the next quarter's production requirements

$3.$Ending finished goods inventory: $25\%$ of the next quarter's expected sales

units

$4.$Third$-$quarter production: $7,400$ units

The ending raw materials and finished goods inventories at December $31,2023,$ had the same percentages for production and sales that are budgeted for $2023.3$ kilograms of raw materials are needed to make each unit of finished goods. Raw materials purchased are expected to cost $$5$ per kilogram.

Prepare the production budget by quarters for the six$-$month period ended June $30,2023.$