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company manufactures three products 1, 2, and 3. Each product requires production time in three departments as st PRODUCT DEPARTMENT 1 DEPARTMENT 2 DEPARTMENT 3 1 3 hr/unit 2 hr/unit 1 hr/unit 2 4 hr/unit 1 hr/unit 3 hr/unit 3 2 hr/unit 2 hr/unit 3 hr/unit There are 500, 400, and 300 hours of production time available in the three departments, respectively. If products 1, 2, a contribute $3, $4, and $2.5 per unit to profit, answer the following questions: (You may attach your solution or write in the box) a) Define the decision variables (2 marks). b) Write all constraints (3 marks). C) Write the objective function (define whether it is a maximization or minimization) (1.5 marks)