Shelf Space Allocation. A grocery store must decide on the shelf space to be allocated to each of five types of breakfast cereals. The maximum daily demand is 110, 80, 150, 85, and 100 boxes, respectively. The shelf space in square inches for the respective boxes is 15, 25, 16, 20, and 22. The total available shelf space is 5000 in2. The profit per unit is $1.10, $1.30, $1.08,

$1.25, and $1.20, respectively. Determine the optimal space allocation for the five cereals.