The production departments at Windsor Parke occupy a total area of $50,000$ square feet.Heating costs total $$600,000$ and are allocated based on the area that each department occupies. The finishing department occupies $30,000$ square feet and the packaging department occupies $20,000$ square feet. What amount of heating cost will be allocated to the finishing and packaging departments, respectively?A$)$ $$36,000$ and $$24,000$B$)$ $$32,727$ and $$21,818$C$)$$$300,000$ and $$300,000$D$)$ $$360,000$ and $$240,000$