Recall the production model: 10x Max s.t. 5x S 40 x 20 Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours of labor time for each unit produced. Use y as the number of units of second product produced (a) Show the mathematical model when both products are considered simultaneously, Max s.t. x 20, 20 (b) Identify the controllable and uncontrollable inputs for this model. (Select all that apply.) (1) controllable labor hours labor availability unit profit (11) uncontrollable Oy labor hours labor availability unit profit (c) Draw the flowchart of the input-output process for this model. Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet (d) What are the optimal solution values of x and y? (Let P be total profit.) X = y = P= $ (e) is the model developed in part (a) a deterministic or a stochastic model? Explain. The uncontrollable inputs are --Select-- and --Select- so the model is Select