Peter sells programs at State University’s home football games. Peter must buy the programs before the game in multiples of 100 (2000, 2100, 2200, etc.). Peter has determined that the probability of selling different quantities of programs at a given game is as follows:Demand for ProgramsProbability of Demand20000.1021000.2022000.4023000.2024000.10Peter plans to sell the programs for $4 each. He pays $2.50 for each program and there is no salvage value. Determine how many programs Peter should buy to maximize his profit.Before You Begin:For this problem, we are only able to make a single purchase. Determine which order quantity has the highest expected payoff. Develop a payoff table to show the expected value from each order quantity.