Step 1: Understanding perfect competition.
In a perfectly competitive market, at equilibrium, total surplus is maximized, marginal benefit equals marginal cost, and minimum willingness to pay equals minimum acceptable price.
Step 2: Analysis of options.
- (A) Total surplus gets maximised: This is correct. At equilibrium, total surplus (consumer + producer surplus) is maximized.
- (B) Marginal benefit equals marginal cost: This is correct. At equilibrium, the price equals both marginal benefit and marginal cost.
- (C) Minimum willingness to pay equals minimum acceptable price: This is correct. At equilibrium, these values are equal, ensuring no surplus or shortage.
- (D) All competitive equilibria are Pareto optimal: This is incorrect. Not all competitive equilibria are Pareto optimal, especially when there are externalities or imperfect information.
Step 3: Conclusion.
The incorrect statement is (D), as not all competitive equilibria are Pareto optimal.
Which of the following are correct in the context of monopolistic competition?
(A) Monopolistic competitive firms may earn economic profits or incur losses in the short-run.
(B) The long-run equilibrium position of a monopolistically competitive producer is far more efficient than that of pure competition.
(C) The firms may strive to increase the demand for its product through product development and advertising.
(D) Consumers benefit from the wide variety of product choices that monopolistic competition provides.
Choose the correct answer from the options given below:
A weight of $500\,$N is held on a smooth plane inclined at $30^\circ$ to the horizontal by a force $P$ acting at $30^\circ$ to the inclined plane as shown. Then the value of force $P$ is:
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is: