Shelf mix decision Superstore is a large discount supermarket. Profits have declined, so the manager has collected data on revenues and costs for different food categories. The following data pertain to some 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:

The manager wants a maximum of 250 square feet devoted to the four categories in this table.Required(a) Given the manager??s constraints, and assuming that the store can sell whatever is displayed on the shelves, what shelf mix (i.e., what number of square feet for each category in the table) will maximize Superstore??s contribution margin from these four categories? (b) What other factors might the manager consider in deciding on the amount of shelf space percategory?

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FROZEN FROZEN VEGETABLES ICE CREAM JUICES DINNERS Selling price per unit (square-foot package) Variable costs per unit (square-foot package) Minimum square footage required Maximum square footage allowed S12.00 S13.00 $24.00 $9.00 $20,50 $8.00 S10.00 S7.00 24 24 24 24 100 100 100 100