Question 2 (Use two decimal places) A retailer has purchased 1250 winter jackets before the start of the winter season at a cost of $90 each. The season last five months and the retailer has demand forecast for each of the five months to be d, = 650 1.10.; d = 650 1.3p2 ; dz = 650 1.5p3 ; d = 650 1.6p4 andds = 650 1.7ps a) How should the retailer vary dynamic) the price of the jacket over the five months to maximize profit given initial stock of jackets? (Provide your solver model and solution) 10 marks b) Given initial stock of jackets, If the retailer charges a constant price over the five months, what should it be? What is/are the additional constraints added to the solver? And provide the prices. 5 marks c) How much gain in profit results from dynamic pricing over constant pricing? Show the steps 5 marks d) Refer information given at the beginning of the problem. Assume dynamic pricing and use Q as an extra variable. How many jackets should the retailer purchase at the beginning of the season to maximize profits? Provide both prices and profit. If the company assumes constant pricing, will the number of jackets and profit change or not? If yeso provide your new values. and