Optimize the operation of a power plant to minimize costs. the plant must produce 1000 mwh of electricity while emitting no more than 2500 g of sulfur (to prevent acid rain). regular coal or low sulfur coal can be used. regular coal costs $3/mwh produced by the plant. a scrubber can be used to clean stack gasses, but is used with regular coal only. both regular and low sulfur coal can be burned with the scrubber off, in which case regular coal results in the emission of 12 g/mwh of sulfur and low sulfur coal results in 1 g/mwh. note: none of the amounts or costs used are meant to reflect actual conditions at a power plant. with the additional data given below, use the simplex algorithm to solve the problem (e. g., using the excel solver add-in).given the cost of operating the scrubber is: sc = 2.37 $ mwh-1 the fractional reduction in sulfur emissions with the scrubber on (regular coal only) is: srf = 0.65 (unitless) the cost of low sulfur coal is: cl = 4.1 $ mwh-1question(s)1. what is the cost of producing power using regular coal with the scrubber on? 2. how many grams of sulfur are released per mwh of power produced when regular coal is burned with the scrubber on? 3. how many decision variables are used in the objective function? 4. how many constraint equation are used in the linear programming model (not including non-negativy)? 5. in the optimal solution, how much energy is produced using regular coal with the scrubber off? 6. in the optimal solution, how much energy is produced using low sulfur coal? 7. in the optimal solution, how much energy is produced using regular coal with the scrubber on? 8. what is the minimum cost of operating the power plant?