A supermarket is allocating space in its laundry aisle. The product categories, and their estimated weekly profit (in dollars per square foot) are listed in the table below.

Powdered detergent	4
Liquid detergent	5
Bleach	3
Stain removers	2

There are at most 2400 square feet available for these products. Stain removers must be given at least 40 square feet. The detergents (combined) must be given at least 1316 square feet, but not more than 60% of the total space used by detergents and bleach. At least half the space allocated to detergents must go to powdered detergents. If the supermarket wishes to maximize its profit, how should the shelf space be allocated?