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Remarks & Instructions: 1. Do not scale any coefficient or function. All coefficients must be numeric values. 2. Right-hand side of each constraint should be a nonnegative numeric value. 3. Do not put any spaces, extra characters or explanations since these may render your answer incorrect. 4. An empty box is considered incorrect and receives zero point. A company wants to maximize their daily profits by determining the quantities of products to make (x1 and x2) in a day using an LP. The company works 10 hours a day. The raw material is metal sheets. Daily spending on the metal sheets should not exceed $1400. The metal sheets are cut on a cutting machine and given shape using a bending machine. There is one cutting and one bending machine and each of these can handle one unit of a product at a time. The company has limited storage space for the products, and products cannot be stacked. See below for other data. Fill the below boxes accordingly. Product 1 Product 2 Available Metal sheet cost (S/unit) 19 29 Cutting time (hour/unit) 0.3 0.4 5 hours Bending time (hour/unit) 0.3 0.4 6 hours Space (m/unit) 0.5 1.5 Demand (units) At least 15 Not more than 20 Profit ($/unit) 140 315 50 m2 X1+ x2 (Objective & Objective Function) s.t. x1 + X2 (Monetary constraint) x1 + x2 (Cutting constraint) x1 + x2 (Bending constraint) x1 + X2 (Working hours constraint) x1 + X2 (Space constraint) X1 + x2 (Product 1 demand constraint) x1 + x2 (Product 2 demand constraint) Formulate the following additional constraint: Daily production quantity of product 1 must be at least double that of product 2. x1 + x2 Formulate the following additional constraint: Daily production quantity of product 2 must be at least 4 units more than that of product 1. x1 + x2