The Donald Fertilizer Company produces industrial chemical fertilizers. The projected manufacturing requirements $($in gallons$)$ for the next four quarters are $90,000,60,000,90,000,$ and $140,000$ respectively. A level workforce is desired, relying only on anticipation inventory as a supply option. Stockouts and backorders are to be avoided, as are overtime and undertime.

a$.$ Determine the quarterly production rate required to meet total demand for the year, and minimize the anticipation inventory that would be left over at the end of the year. Beginning inventory is $0.$

The quarterly production rate is $95000$ gallons. $($Enter your response as an integer.$)$

b$.$ Specify the anticipation inventory that will be produced. $($Enter your responses as an integers.$)$

$\backslash$table$[[$Quarter$,1,2,3,4],[\backslash$table$[[$Anticipation$],[$inventory $($gallons$)]],380000,80000,70000,0]]$