You just won a $100 shopping spree at a store that sells only hats and shirts. You are trying to determine what combination of these two goods would maximize your utility. The price of hats is $10 and shirts are $20. Below is the total utility you receive from consuming these goods.

1 hat for 50
2 for 100
3 for 140
4 for 170
5 for 290
6 for 200

1 shirt for 150
2 shirts for 190
3 for 410
4 for 510
5 for 590
6 for 650

a. Calculate the marginal utility and marginal utility per dollar for each unit of each good.