4. (4 pts) Consider the sample LP from our class notes (the Wyndor Glass problem). The company would additionally like to consider the following scenarios (each scenario is distinct from the others, do not combine them). a. Due to maintenance in a future week, only half of the usual time will be available at Plant 2. How many batches of each product should they make that week, and what will be their profit? b. They believe that by paying overtime, they can expand the number of hours available at each facility. For a cost of $6,000, they can add two hours of availability at each facility every week. Would you advise them to do so? Why? c. They are considering adding a new product in the future. This product would require 2 hours of processing time at each facility per batch, and each batch would net a profit of $7,000. Would you advise them to offer this product? Why? 4. (4 pts) Consider the sample LP from our class notes (the Wyndor Glass problem). The company would additionally like to consider the following scenarios (each scenario is distinct from the others, do not combine them). a. Due to maintenance in a future week, only half of the usual time will be available at Plant 2. How many batches of each product should they make that week, and what will be their profit? b. They believe that by paying overtime, they can expand the number of hours available at each facility. For a cost of $6,000, they can add two hours of availability at each facility every week. Would you advise them to do so? Why? c. They are considering adding a new product in the future. This product would require 2 hours of processing time at each facility per batch, and each batch would net a profit of $7,000. Would you advise them to offer this product? Why