Find the equilibrium price and quantity for the diet pills in Exercises 47 and 48.

Data from Exercise 48.

The demand for the diet pills in Exercise 47 is 50 pills at a price of $47.50 and 80 pills at a price of $32.50. Determine a linear demand function for these pills.

Data from Exercises 47.

For a new diet pill, 60 pills will be supplied at a price of $40, while 100 pills will be supplied at a price of $60. Write linear supply function for this product.