Instruction
1. Suppose that you can sell as much of a product (in integer units) as you like at $63 per unit. Your marginal cost (MC) for producing the qth unit is given by:
MC=6q
This means that each unit costs more to produce than the previous one (e.g., the first unit costs 6*1, the second unit (by itself) costs 6*2, etc.).
If fixed costs are $90, what is the profit at the optimal output level?
Please specify your answer as an integer.
2. Assume that a competitive firm has the total cost function:
TC = 1q3 - 40q2 + 880q + 2000
Suppose the price of the firm's output (sold in integer units) is $550 per unit.
Using tables (but not calculus) to find a solution, how many units should the firm produce to maximize profit?
Please specify your answer as an integer.