The N. Dustrious Company produces two products: I and II. The raw material requirements, space needed for storage, production rates, and selling prices for these products are given in Table 1. The total amount of raw material available per day for both products is 1575 lb. The total storage space for all products is 1500 ft2, and a maximum of 7 hours per day can be used for production. All products manufactured are shipped out of the storage area at the end of the day. Therefore, the two products must share the total raw material, storage space, and production time. Define variables and formulate a linear programming (LP) model to determine how many units of each product to produce per day to maximize its total income. You don't need to solve your LP model, just formulate it.

TABLE 1 Production Data for N. Dustrious Company Storage space (ft/unit) Raw material (Ib/unit) Production rate (units/hr) Selling price ($/unit) I 4 5 60 13 Product II 5 3 30 11