Suppose Lauren can produce $6$ pizzas or $2$ cakes in an hour, while Patrick can produce $5$ pizzas or $3$ cakes in an hour. If Lauren and Patrick trade based on the principle of comparative advantage, who will sell each product?a$)$ Patrick will sell pizzas and Lauren will sell cakes.b$)$ Patrick will sell both cakes and pizzas.c$)$ Lauren will sell pizzas and Patrick will sell cakesd$)$ Lauren will sell both cakes and pizzas.