Suppose you are a manager of a firm that operates in a duopoly. Recently, the state attorney general fined you and your competitor for price fixing. In your market, firms only set prices, not total quantities to sell. From previous experience, you know your competitor has a marginal cost of $ 1.86 . Further, your marginal costs are $ 1.84 . The previous cartel price was $10.00, when you and your competitor were price fixing. What price level do you now choose to maximize profits

Until recently, hamburgers at the city sports arena cost $4.70 each. the food concessionaire sold an average of 13 comma 000 hamburgers on game night. when the price was raised to $5.40, hamburger sales dropped off to an average of 6 comma 000 per night. (a) assuming a linear demand curve, find the price of a hamburger that will maximize the nightly hamburger revenue. (b) if the concessionaire had fixed costs of $1 comma 500 per night and the variable cost is $0.60 per hamburger, find the price of a hamburger that will maximize the nightly hamburger profit.