Please solve all opt?ons

An electronics firm has a contract to deliver the following number of radios during the next three months, month 1, 200 radios; month 2, 300 radios; month 3, 300 radios Total:800 radios. For each radio produced during months 1 and 2, a $10 variable cost is incurred; for each radio produced during month 3, a $12 variable cost is incurred The inventory cost is $1.50 for each radio in stock at the end of a month The cost of setting up for production during a month is $250 Radios made during a month may be used to meet demand for that month or any future month Assume that production during each month must be a multiple of 100 Given that the initial inventory level is 0 units, use dynamic programming to determine an optimal production schedule Hint: Let fli) be the minimum cost incurred during months t,t 1.3 if the inventory at the beginning of month t is i. Let x(i) be the quantity that should be produced during month t in order to attain f(i). a. Draw the network representation of the problem b. Solve your homework on a sheet of paper with your handwriting