(15 pts) A firm can produce at most x = 2500 units per month, and their marginal cost function has been computed to be MC = 1200+ x, while the cost of producing and
selling 30 units is $70,000. If their marginal revenue function has been computed to be
MR = 3500, then find:
a) The number of units of production resulting in maximum monthly profit
b) The maximum monthly profit
c) Associated fixed costs
d) How many units does the firm need to manufacture and sell in order to break even?

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)