Solution and Explanation:
As per the given data:
Quarter 1 = 90000, Quarter 2 = 90000, Quarter 3 = 60000, Quarter 4 = 140000
a. Quarterly production rate is calculated as follows:
Q = ( 90000 + 90000 + 60000 + 140000 ) divide by 4
after calcualting the above equation, we get, = 95000 gallons per quarter tin order to meet the demand.
b. Anticipation inventory:
1 st quarter = 95000 minus 90000 = 5000 gallons
2 nd quarter = 95000 minus 90000 = 5000 + 5000 in prior quarter = 10000 gallons
3 rd quarter = 95000 minus 60000 = 35000 + 10000 in prior quarters = 45000 gallons
4th quarter = 140000 minus 450000 minus 95000 = 0 gallons.