For a new product in our company we need to use with the following plants in order to maximize the output: Petrochemical plant, Steel plant, and Electric plant. The current objective is 1000. The following sensitivity report is given: Cell $B$10 Name Final Value: Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease Petrochemical 80 5 80 20 30 $C$10 $D$10 Steel 25 10 25 4 12 Electric 60 0 68 1E+30 B Feel in the blanks with the most accurate statement. If we increase the capacity of Steel plant from 25 to 30, the optimal objective will be at least 825 875 If we increase the capacity of Petrochemical plant from 80 to 90, the optimal objective will be 875 most) 925 (the number). If we decrease the capacity of Petrochemical plant from 80 to 40, the optimal objective will be 775 most) 825 (the number). and at most (exactly/at least/at (exactly/at leastat If we simultaneously increase the capacity of Steel from 25 to 27 and the capacity of Petrochemical from 80 to 85, the optimal objective will be 850 (exactly/at least/at most) 900 (the number)