Suppose the market demand and supply functions are Q_D = 180 - 1.5P and Q_S = 3.5P + 40. You have just graduated and moved to this city; as a new MBA and an entrepreneur, you are considering entering the market for this product.

a. Determine the equilibrium price and quantity in this market.

b. You've researched and found that most firms in the market currently experience costs such that TC = 15 + 45Q - 10Q² + 1.5Q³. Determine whether or not you should enter this market. Use graphs to support your answer.

c. Due to unforeseen delays, you don't enter the market. However, a year later the market supply has changed to Q_S= 3.5P + 10. Are you surprised at this shift in supply?

d. Given the new supply conditions, determine whether or not you should enter the market.