Question: 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 100, 85, 140, 80 and 90 boxes, respectively. The shelf space in square inches for the respective boxes is 16, 24, 18, 22 and 20. The total available shelf space is 5000 in^2. 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. Use AMPL to solve.