a mountain hotel heats its rooms with oil. client number in March is unknown so they cannot estimate how much oil to order. their supply Dpt. believes that amount of oil required will. be defined by a triangular distribution with a=1000 lit b=4000 lit and c=2000 lit. oil costs 3 euro per lit. each liter burned creates 6 euros in revenue, leftover oil is discarded by 3rd party that charges 2 euros (negative salvage value - 2euros). 1) how much should they buy to maximize profit? 2) if mean amount of oil required is normal distribution 2000 lit with standard deviation 200 lit, how much should they order to maximize profit ? 3)if oil required is poison distribution with mean 2000 lit how much should they order to maximize profit