Assume, in a microeconomic context, a given company has the following marginal revenue function:

MR=150-8Q

1) Derive the market demand;

2) Assume the company is the sole seller, facing a cost function of TC=50Q, what is the optimal production?

3) Based on the results above, what is the profit of the company?

4) If the cost changes to TC=60Q, how would the optimal production and profit change, it at all? Discuss.