You have been hired to run a hydrogen production plant. The fixed cost (amortization of the equipment, and the buildings, salaries, taxes, etc.) amounts to cF=$2000/day regardless of how much hydrogen is produced. The electrolyzer consists of N cellsconnected in series, each having the characteristic, V=V0+RintI The utility will provide electric energy at a price, c(in $/kWh), that can vary from day to daydepending on availability. Each day you must adjust the hydrogen production rates , Hprod. rate(kg/day) so as to minimize the cost of the gas. To this end, you must develop a formula that tells you the optimal production rate as a function of c. Calculate the Hydrogen production rate that leads to the cheapest gas for the case in which there are 250 series connected cells, each one having the characteristic V=1.42+20*10-6I Do this for an electric energy cost of 2 cents per kWh. Thank you very much for your help