Geko is a new sandwich shop in town. They have identified their individual demand as q= 10-5p. This is representative of their 100 customers/day. Assume a marginal cost of 0.1.

1. Determine a single price that maximizes profit.
2. Determine the price if they apply an all-you-can-eat system.
3. Calculate quantity, price and profits if the firm were able to apply perfect discrimination.