I take my cousin to the Mall. We have the option of purchasing 2 items.- Sweaters(15$) or Shoes (50$). We each get 20$ of satisfaction from the sweaters, and 40$ of satisfaction from the Shoes.

a) What are the Nash Equilibrium Strategies if we both pay for our own Items?

b) What are the Nash Equilibrium Strategies if we split the cost of the purchases?

Please illustrate and show your work!