4. Determine the average function and the marginal function for each of the following functions
Totals:
a) Total income TR = 100 Q - Q²
b) Total cost TC = 1000+ 10 Q + .01 Q²
c) Total profit TP = 50 Q - 0.1 Q2 - 1000

5. Given the following total income function TR = 100 Q - Q², determine the level of production that allow to maximize total income.

6. Given the total cost function TC = 200Q - Q² + 0.3 Q³, determine the level of production that minimize the average total cost.

Graphically complement the answers to questions 5 and 6.