Heavenly Flower Shop contracts with Floral Transportation Service (FTS) to deliver phone orders to the four cemeteries in town. FTS charges Heavenly a flat $2.50 per order plus $0.15 per mile for delivery per arrangement from one of Heavenly’s two locations to the appropriate cemetery. The distances from Heavenly’s two stores to the four cemeteries are given in the table for problem 21.
It is Memorial Day, and Heavenly has received telephone orders for 20 arrangements to be delivered to Lilac Hills, 16 to Forest Glen, 18 to St. Mary’s, and 22 to Chelsea Pines. Heavenly has enough flowers in its City Center location to make 45 arrangements, and enough in its North Central location to make 40 arrangements. Heavenly adds a flat $10 fee for delivery charges to all telephone orders.
How many of the orders for each cemetery should be filled at each location so that Heavenly maximizes its profit from delivery charges? What is the optimal profit?
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