Please step by step process and kindly explain so that I will comprehend. Thank you.

Pricing problems with capacity constraints (1) (Single-Period Pricing) Suppose that one day we have 150 units of product to sell. From our understanding of demand conditions, we estimate that 300 units could be sold at $10 each or 100 units at $30 each, and that quantity demanded is approximately linear as a function of price. (For simplicity, assume that a single linear relationship holds over the full range of potential prices) How should we price the product to maximize total revenue derived from our fixed inventory? (2) (Multi-Period Pricing) Suppose now that we have 400 units of product to sell over two days, that demand for day 1 is exactly as in Problem 1 above, and that demand for day 2 is as follows: we could sell 600 units at $5 each or 400 units at $10 each, and demand is again linear over the full range of potential prices. (a) If we are obliged to charge the same price on both days, what price will maximize total revenue derived from our fixed inventory? (b) If we are free to charge different prices on the two days and there is no demand crossover (for example, you can imagine that the populations to which we sell on the two days are completely separate), what pair of prices will maximize total revenue derived from our fixed inventory? (3) (Dynamic Pricing) Suppose now that we have 1200 units of product to sell over a five-day period, and that the demand curves for the individual days are linear, as follows (again assume that there is no demand crossover): Demand Day 1 Quantity Sold =60030 Price Demand Day 2 Quantity Sold =90060 Price Demand Day 3 Quantity Sold =80040 Price Demand Day 4 Quantity Sold =80040 Price Demand Day 5 Quantity Sold =90060 Price (a) If we are obliged to charge the same price on all days, what price will maximize total revenue derived from our fixed inventory? (b) If we are free to charge different prices on different days and there is no demand crossover, what prices will maximize total revenue derived from our fixed inventory? (c) Suppose that, after implementing on day 1 the optimal price that you computed in part (b) above, you find that sales on day 1 are 25% greater than you expected. What price do you now recommend for day 2