Amonopoly faces the following demand curve: q = 81/(p^2) where q is the quantity demanded and p is the price. its average variable cost is avc = (q^.5) and its fixed cost is 2.a. what are its profit-maximizing price and quantity and what is the resulting profit? [hint: mc = 1.5q0.5 , mr = 4.5q-0.5]b. suppose the government regulated the price to be $4.00 per unit. how much will the monopolist produce and what will profit be with this regulation? c. suppose the government wants to set a ceiling price that induces the monopolist to produce the largest possible output. what price will accomplish this goal?

Which of the following is likely not a benefit of requiring a grand jury to listen to and examine all of the evidence against a person suspected of committing a serious crime and then independently deciding whether or not to hand down an indictment? 1.the grand jury system provides the accused another safeguard against being sent to trial and facing conviction based on flawed evidence. 2.the members of the grand jury are drawn from the community and are empowered to render independent decisions about whether or not the government has collected enough evidence to bring an individual to trial. 3.the grand jury’s decision can provide prosecutors insight into what is necessary to build a sufficient case if a similar crime is presented later. 4.the grand jury is impaneled to rubber-stamp prosecutors’ cases, which makes it possible for more cases to reach trial.