please answer a & d

3. Arnold has $30 to spend on gym visits (good 3:) and other leisure activities (good y) each week. The price of a unit of other leisure activities is py = 1. a. b. If Arnold is n_ot a member of the gym, he must pay the price of px = 6 per visit. Write his budget constraint equation and draw his budget line in this case. Arnold can become a member of the gym for a weekly membership fee of $10, which reduces his available income for gym visits and other leisure activities to $20. If Arnold is a member of the gym, he pays a reduced price of px = 2 per visit. Write his budget constraint equation and draw his budget line in this case. At what consumption bundle do the two budget lines intersect? What is the smallest (integer) number of weekly gym visits such that Arnold can afford greater consumption of other leisure activities by becoming a member of the gym