1) GoShop Development is building a new shopping plaza and is trying to allocate retail space among various stores. The plaza will include women's clothing stores, children's clothing stores, shoe stores, electronic stores, jewelry stores, and bookstores. To simplify its communications, all stores in each class are owned by a single company; for example, all jewelry stores are owned by one large corporation, even though the stores are named differently. Each of the six store classes have minimum and maximum space requirements (in square feet) and have provided GoShop with estimates on the per square-foot profit margins for GoShop. GoShop has also estimated the per square.foot cost of building each class of shop, since they have different physical requirements. These values are provided in the table below. The shopping plaza will encompass 15,000 square feet of retail space. In addition, GoShop would like to ensure that at least 45% of the space is given to clothing stores, while at most 15% is provided to bookstores. If GoShop has a construction budget of $25 million dollars, formulate a linear program that tells GoShop how to allocate space to the various store classes to satisfy the various requirements and maximize its profit margins