A monopolist has a single customer with the demand curve P=20-Q. (So this customer will buy different quantities at different prices.) Suppose the monopolist’s marginal cost is MC=0. (And assume FC=0 to keep things simple.)The monopolist uses “standard” pricing, i.e., it sets a single price for all units that the customer buys. The graph below shows the demand curve and MC curve. Solve graphically for the price & quantity that will maximize profit for the monopolist. Shade the areas on your graph that represent consumer surplus and the monopolist’s profit. **How an Engine Works**An engine works on the principle of internal combustion where fuel is ignited inside a chamber, commonly known as the cylinder. This process involves a sequence of steps that result in converting fuel into motion. Here’s a comprehensive explanation of how engines work:1. **Intake Stroke**: The engine's piston moves down the cylinder, allowing the intake valve to open and a mixture of fuel and air to fill the combustion chamber.2. **Compression Stroke**: The piston moves back up the cylinder, compressing the fuel-air mixture. The intake valve is closed during this step.3. **Power Stroke**: A spark plug ignites the compressed fuel-air mixture, causing a small explosion. The resulting force pushes the piston back down.4. **Exhaust Stroke**: Finally, the piston moves back up, pushing exhaust gases out through the exhaust valve.**Diagram Explanation:**The diagram illustrates the four-step process of engine operation:- The intake stage, marked by an open intake valve and a descending piston.- Compression, with the piston rising and both valves closed.- The power stroke, showing an ignited mixture driving the piston down.- Exhaust, indicating the piston moving up and expelling gases through an open exhaust valve.Each step is crucial for the engine to efficiently convert fuel into mechanical energy, enabling vehicles to move. This cyclical process highlights the marvel of engineering that powers the modern world.

Monopoly market refers to the market structure that can be identified by one seller, who sells a specific commodity. In this kind of a market, there is no competition faced by the seller because he is the only seller who is selling that particular good, and there is no close substitute for that product. In the monopoly market, there is no competition and as a result, the monopolist stays in control of both the price as well as the quantity demanded. The level of productivity that can maximize the profit of the monopoly is at the point where marginal cost becomes equal to the marginal revenue. Demand Curve: P=20-Q Total revenue is the product of price and quantity. TR=P×Q=(20-Q)Q=20Q-Q2 Marginal revenue is calculated by differentiating total revenue with respect to quantity. MR=dTRdQ=20-2Q Marginal Cost: MC=0 At the point of equilibrium, the profit will be maximised and marginal revenue is equal to marginal cost. MR=MC20-2Q=02Q=20Q=202=10 Now, plugging in the value of Q in the demand equation to calculate P. P=20-Q=20-10=10Graphical Representation: