Answer:
Ending inventory (December)   =  $72,270
Ending inventory (January)  =  $67,650
Ending inventory (February)   =  $82,912.50
Beginning Inventory (January ) = $72,270
Explanation:
The ending inventory of chemicals in gallons :
Note : Based on Company policy, this was determined as 15% of next month's production needs.
Ending inventory (December)  = 43,800 × 15% × 5.5 gallons × $2.00
                                                    =  $72,270
Ending inventory (January)  = 41,000 × 15% × 5.5 gallons × $2.00
                                                    =  $67,650
Ending inventory (February)  = 50,250 × 15% × 5.5 gallons × $2.00
                                                    =  $82,912.50
The beginning inventory of chemicals for January is equal to the Ending inventory for December that is $72,270