Suppose the firm 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. d. what are the optimal solution values of x and y? e. is the model developed a deterministic or a stochastic model? explain.