Brix, IncPrepares Frozen Food for Fast-Food Restaurants

Brix, Inc.prepares frozen food for fast-food restaurants.It has two workstations, cooking and assembly.The cooking station is limited by the cooking time of the food.Assembly is limited by the speed of the workers.Assembly normally waits on food from cooking.Because the demand has increased in recent months to 2,800 dozen units, management is considering adding another cook station or else having the cooks start to work earlier.The monthly cost of operating the cooking station one more hour each day is $2,400.The cost of adding another cook station would add an average of $10 per hour.The current operating hours total eight hours a day, 22 days a month.The contribution margin of the finished products is currently $8 per dozen.Inventory carrying costs average $2.00 per dozen per month.Either the extra hour or the new cook station would increase production by 20 dozen a day with a long-run increase of 80 dozen units in finished goods inventory to 280 dozen.Required:
a.What is the total production per month if the change is made?
b.What is the increase in the expected monthly product contribution for each of the possible changes? Assume long-run production equals sales.