Arestaurant mixes ground beef that costs $b per pound with pork sausage that costs $p per pound to make a meat mixture that is used on the restaurant's signature pizza. the quarterly revenue, in thousands of dollars, from the sale of this pizza is modeled asr(b, p) = 12b − 3b2 − bp − 2p2 + 14p. at what prices should the restaurant try to purchase ground beef and pork sausage to maximize the quarterly revenue from the sale of the pizza?

An investment counselor calls with a hot stock tip. he believes that if the economy remains strong, the investment will result in a profit of $40 comma 00040,000. if the economy grows at a moderate pace, the investment will result in a profit of $10 comma 00010,000. however, if the economy goes into recession, the investment will result in a loss of $40 comma 00040,000. you contact an economist who believes there is a 2020% probability the economy will remain strong, a 7070% probability the economy will grow at a moderate pace, and a 1010% probability the economy will slip into recession. what is the expected profit from this investment?

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Aplant manager is considering buying additional stamping machines to accommodate increasing demand. the alternatives are to buy 1 machine, 2 machines, or 3 machines. the profits realized under each alternative are a function of whether their bid for a recent defense contract is accepted or not. the payoff table below illustrates the profits realized (in $000's) based on the different scenarios faced by the manager. alternative bid accepted bid rejected buy 1 machine $10 $5 buy 2 machines $30 $4 buy 3 machines $40 $2 refer to the information above. assume that based on historical bids with the defense contractor, the plant manager believes that there is a 65% chance that the bid will be accepted and a 35% chance that the bid will be rejected. what is the expected value under perfect information (evpi)?