EM 605 Spring 2021 DIIidterm Exam 3317;\"2021 SUPER-MEGAGIANT STORES NOWr EXPANDING!!! Distribution of items Department Profit! ft2 Keeps all stock on retail floor Men's clothing Keeps all stock on retail floor Worn en's clothing Keeps all stock on retail floor lChildren's clothing Keeps some items in inventory Toys Keeps all stock on retail floor Housewares Keeps some items in inventory Electronics Keeps some items in inventory Auto Supplies A new store is opening in Rock Spring, with 175,000 available square feet. Each department must have at least 1?,000 square feet and no department can have more than 24% of the total retail floor space available. 12% of total retail floor space devoted to toys, electronics, and auto supplies must be set aside outside the retail area for stocking inventory. Super-Mega- Giant's management needs to find how much floor space should be devoted to ea ch department in order to maximize profit. Formulate a model to solve this