Problem 2. Jack O'Lantern loves pumpkins. Jack may buy pumpkins for Halloween (H) or buy pumpkins in November (N) when Halloween has passed. He has $20 to spend on pumpkins this Autumn. (2.1) If pumpkins are sold at full price for Halloween (PH 2 $1) and discounted by 75% in November (because Halloween is over), how many pumpkins will Jack buy in Nevember when his preferences are given by: U(H, N) : min{3H. N} Label your answer \"N\" and draw a box around it. (2.2) If pumpkins are sold at full price for Halloween (PH 2 $1) what must be the minimum November discount for Jack to purchase pumpkins in November when his preferences are given by: U(H,N) 2 3H + 2N Label your answer \"minimum discount\" and draw a box around your answer. (2.3) In addition to the November discount discussed in (2.1). there is also a bulk dis- count on pumpkins purchased for Halloween. If Jack purchases 12 pumpkins for Halloween, all additional Halloween pumpkins are 50% off. Graph Jack's budget constraint (taking into account both discounts) on a set of axes. Label interceptsg slopes. and all points relevant to the question. (2.4) Consider an increase in Jack's budget such that he now may spend $50 this Au- tumn. Assume that PH 2 $1 and that both discounts from (2.3) still hold. Will Jack consume more pumpkins for Halloween after the budget change (then he did before the budget change) if his preferences are given by: U(H3 N) : 3H + NW Explain in two sentences or less