The Country Workshop's Total Weekly Profit (In Dollars) Realized in Manufacturing

Short Answer

The Country Workshop's total weekly profit (in dollars) realized in manufacturing and selling its rolltop desks is given by the profit function
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where ​x stands for the number of finished units and ​y stands for the number of unfinished units manufactured and sold each week. Find the average weekly profit if the number of finished units manufactured and sold varies between 180 and 200 and the number of unfinished units varies between 100 and 120 per week. Please round your answer to the nearest dollar, if necessary.
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P = $__________ per week.