A retail chain would like to launch a perishable private label product and the retail chain wants to understand the stock they need to maintain everyday. The retail chain has decided to mark the selling price per item at about $$50$ and it costs them $$28$ per item. The profit per item is $$22.$ They have hired a market research company to estimate the demand for the product. The market research company has estimated the demand for the product will be $40,50,60$ or $70$ units with probabilities of $0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}4$ and $0\mathrm{.}3$ respectively. Now the retail chain has to determine how much to stock$-$up for a given day. Is it $40,50,60,$ or $70$ units to meet the demand? Make the decision based on the highest expected profit the retailer will earn. The retailer would also like to make the product available online so that they can estimate the stock they need to maintain in advance. Is it good decision to make the product available online based on the EMVs?