5- A retailer has purchased 400 ski parkas before the start of the winter season at a cost of $100 each. The season lasts three months, and the retailer has forecast demand in each of the three months to be (.11 = 300 p1 (demand for the lSt month), at; = 300 - 1.3p2 (demand for the 2Ild month), and d3 = 300 1.8333 (demand for the 3rd month). How should the retailer vary the price of the parka over the three months to maximize revenue? If the retailer charges a constant price over the three months, what should that price be to maximize revenue? How much gain in prot results from dynamic pricing (various price over the three months)? (20 points) (Hint: Don't forget to dene the available inventory constraint in Solver) Dynamic price Quantity at beginning of season = Period Price Demand Revenue IN 3 Total Constant price Quantity at beginning of season = Period Price Demand Revenue ON Total Profit gain from dynamic pricing