Superstone is a large discount supermaket. Profits have declined, so the manager has collected data on revenues and costs for different food categories. The following data pertain to asome of the frozen foods that Superstore sells. To facilitate comparisons, the manager has listed average price and cost information for each category in equivalent square-foot packages. ICE CREAM: $12.00 selling price per unit (sq ft package), $8.00 variable cost per unit (sq ft package), 24 minimum sq ft required and 100 maximum sq ft allowed. JUICES: $13 selling price, $10 variable cost, 24 min., 100 max. FROZEN DINNER: $24.00 selling price, $20.50 variable cost, 24 min., 100 max., FROZEN VEGETABLE: $9.00 selling price, $7.00 variable cost, 24 min, 100 max. The manager wants a maximum of 250 sq. feet devoted to the four categories. a. Given the Manager's constraints, and assuming that hte store can sell whatever is displayed on the shelves, what shelf ix (i.e. what number of square feet for each category in the table) will maximize Superstore's contribution margin from these four categories