#### Answer

Maximum daily production: 850000 oil barrels
Minimum daily production: 950000 oil barrels

#### Work Step by Step

Let w be the actual production of oil barrels per day
|w-900000|$\leq$50000
w-900000$\leq$50000 and w-900000$\geq$-50000
w$\leq$950000 and w$\geq$850000
850000$\leq$w$\leq$950000