Suppose that you can sell as much of a product (in integer units) as you like at $46 per unit. Your marginal cost (MC) for producing the qth unit is given by:

MC=7q

This means that each unit costs more to produce than the previous one (e.g., the first unit costs 7*1, the second unit (by itself) costs 7*2, etc.).

a. If fixed costs are $115, what is the optimal integer output level?

b. If fixed costs are $115, what is the profit at the optimal integer output level?