Which of the following statements is true?

a. if a tax is imposed on a product sold by a monopolist, the monopolist will maximize its profits by producing where marginal revenue equals marginal cost.
b. a monopolist will always charge the highest possible price.
c. if a tax is imposed on a product sold by a monopolist, the monopolist can increase its price to pass along the entire tax to consumers.
d. because a monopolist faces no competition, the demand for its product is perfectly inelastic.