Optimizing Ice Cream Production at C&A

How can C&A minimize inventory while meeting demand for its 5 flavors of ice cream?

What is the optimal amount of ice cream to produce in each production cycle?

Answer:

To fulfill the demand and minimize inventory, C&A should produce 1.2 gallons of each flavor per hour, resulting in a total production of 6 gallons per cycle for all flavors.

To solve this problem, we need to consider the demand per hour for each flavor of ice cream and the production time per gallon. If we add up the demands, we find that we need 1.2 gallons of ice cream per hour (0.3+0.2+0.1+0.5+0.1). However, the production time for each flavor is 30 minutes per gallon, which means we can produce 2 gallons of each flavor per hour. Therefore, to minimize inventory while meeting demand, C&A should produce 1.2 gallons of each flavor per hour in the production cycle. Hence the total production per cycle for all flavors would be 6 gallons (5 flavors x 1.2 gallons).