Final answer:
The maximum inventory can be calculated by subtracting the demand from the production rate and then multiplying the result by the number of working days per year.
Step-by-step explanation:
The maximum inventory can be calculated by subtracting the demand from the production rate and then multiplying the result by the number of working days per year. In this case:
Maximum inventory = (Production rate - Demand) x Number of working days per year
Maximum inventory = (50 barrels per day - 30 barrels per day) x 250 days per year
Maximum inventory = 20 barrels per day x 250 days per year
Maximum inventory = 5000 barrels per year
Therefore, the maximum inventory is 5000 barrels.