Problem 6: Slavin Corporation manufactures two products, Alpha and Delta. Each product requires time on a single machine. The machine has a monthly capacity of 500 hours. Total market demand for the two products is limited to 150 units (each) monthly. Slavit is currently producing 110 Alphas and 110 Deltas each month. Cost and machine-usage data for the two products are shown in the following table which Slavin managers use for planning purposes. Reguired: a. What is the optimal production schedule for Slavin? In other words, how many Alphas and Deltas should the company produce each month to maximize monthly profit? b. If Slavin produces at the level found in requirement (a), how much will monthly profit increase over the current production schedule? c. Under the optimal production level, would the company be willing to increase demand for Alpha by 1 unit, and why? How about Delta