Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours for each unit produced. Assume total production capacity remains 40. Use y as the number of product 2 produced. a.) Show the mathematical model when both products are considered simultaneously. b.) Identify the controllable and uncontrollable inputs for this model. c.) Draw the flowchart of the input-output process for this model (see Figure1.5) d.) What are the optimal solution values of x and y? e.) Is the model developed a deterministic or a stochastic