Determine the Dual of the LP in Problem $1.$ Use the dual variables that I have specified above. Do not reformulate the problem in any way. You are required to derive the dual of the problem that is shown above. Note that you only have to derive one dual, you do not need to derive a dual for each period. Solve the problem for each level of specified demand. Hint: It may help you to use the solution from problem $1,$ strong duality, and complementary slackness to solve this problem. You cannot use any software to solve this problem; you must solve this by hand.