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- Your firm's research department has estimated your total revenues to be and your total costs to be . What level of Q maximizes net benefits? (Note that the marginal functions are MR(Q) = 30,000 - 160Q and MC(Q) = 40Q)Becky and Sarah are sisters who share a room. Their room can easily get messy, and their parents are always telling them to tidy it. Here are the costs and benefits to both Becky and Sarah, of taking the time to clean their room: If both Becky and Sarah clean, they each spends two hours and get a clean room. If Becky decides not to clean and Sarah does all the cleaning, then Sarah spends 10 hours cleaning (Becky spends 0) but Sarah is exhausted. The same would occur for Becky if Sarah decided not to clean—Becky spends 10 hours and becomes exhausted. If both girls decide not to clean, they both have a dirty room. a. What is the best outcome for Becky and Sarah? What is the worst outcome? (It would help you to construct a prisoner’s dilemma table.) b. Unfortunately, we know that the optimal outcome will most likely not happen, and that the sisters probably will choose the worst one instead. Explain what it is about Becky’s and Sarah’s reasoning that will lead them both to choose the…Becky and Sarah are sisters who share a room. Their room can easily get messy, and their parents are always telling them to tidy it. Here are the costs and benefits to both Becky and Sarah of taking the time to clean their room: If both Becky and Sarah clean, they each spend two hours and get a clean room. If Becky decides not to clean and Sarah does all the cleaning, then Sarah spends 10 hours cleaning (Becky spends 0) but Sarah is exhausted. The same would occur for Becky if Sarah decided not to clean—Becky spends 10 hours and becomes exhausted. If both girls decide not to clean, they both have a dirty room. What is the best outcome for Becky and Sarah? What is the worst outcome? (It would help you to construct a prisoner’s dilemma table.)
- Becky and Sarah are sisters who share a room. Their room can easily get messy, and their parents are always telling them to tidy it. Here are the costs and benefits to both Becky and Sarah of taking the time to clean their room: If both Becky and Sarah clean, they each spend two hours and get a clean room. If Becky decides not to clean and Sarah does all the cleaning, then Sarah spends 10 hours cleaning (Becky spends 0) but Sarah is exhausted. The same would occur for Becky if Sarah decided not to clean—Becky spends 10 hours and becomes exhausted. If both girls decide not to clean, they both have a dirty room. What is the best outcome for Becky and Sarah? What is the worst outcome? (It would help you to construct a prisoner’s dilemma table.) Unfortunately, we know that the optimal outcome will most likely not happen, and that the sisters probably will choose the worst one instead. Explain what it is about Becky’s and Sarah’s reasoning that will lead them both to choose the worst…Your firm’s research department has estimated your total revenues to be R(Q) = 30, 000Q − 80Q2 and your total costs to be C(Q) = 1, 000 + 20Q2. (Note that the marginal functions are MR(Q) = 30, 000 − 160Q and MC(Q) = 40Q). What level of Q maximizes net benefits? What is the marginal benefit and marginal cost at this level of Q? What is the maximum level of net benefits? What is another word for net benefits in this example?Your firm's research department has estimated your total revenues to be R(Q) = 30,000Q - 80Q^2 and your total costs to be C(Q) = 1,000 + 20Q^2 (a) What level of Q maximizes net benefits? (Note that the marginal functions are MR(Q) = 30,000 - 160Q and MC(Q) = 40Q) (b) what is the marginal benefit for the level of Q you computed? (c) what is the maximum level of net benefits?
- .. Imagine that you are trying to decide whether to cross a street without using the designated crosswalk at the traffic signal. What are the expected marginal benefits of crossing? What are the expected marginal costs? How would the following conditions change your benefit cost equation? The street was busy. The street was empty, and it was 3:00 A.m. you were in a huge hurry. There was a police officer 10 metres away. The closest crosswalk was 1 kilometre away. The closest crosswalk was 5 metres away.Suppose marginal benefits and marginal costs are given by B(Y) = 100 − 16Y and C(Y) = 20Y. What level of Y will yield the maximum net benefits?A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey and incurs a cost c(N) that increases with the number of drivers on the road due to congestion. Suppose that the cost incurred is given by c(N) = a + bN, for some positive numbers a, b. If the agent decides not to use the road, they receive 0. You may assume throughout that the number of drivers N can be any real number (rather than an integer). Each driver uses the road at most once. Suppose that the government charges a toll t (a congestion charge) for each journey. Find the optimum toll. Interpret your answer in terms of the externality that each driver imposes on others
- A firm has the following benefits and costs equations: B(Q) = 450Q - 26Q² and C(Q) = 126 + 18Q² Q that maximizes NB? The maximum net benefit is (profits)? Q that max TB? The profits that max TB? The results above indicate that: A. Profits are maximized at Q that max TB B. Profits at max TB > profits at max NB C. Profits at max TB < profits at max NB D. None of these statements is correct.Kim and Abby are sisters who share a room. Their room can easily get messy, and their parents are always telling them to clean it up. Here are the costs and benefits to both Kim and Abby, of taking time to clean their room: If both Kim and Abby clean, they each spend two hours and get a clean room. If Kim decides not to clean and Abby does all the cleaning, then Abby spends 10 hours cleaning (Kim spends 0) but Abby is exhausted. The same would occur for Kim if Abby decided not to clean - Kim spends 10 hours and becomes exhausted. If both girls decide not to clean, they both have a dirty room. a. What is the best outcome for Kim and Abby? What is the worst outcome? (It may help you to construct a prisoner's dilemma table) b. Unfortunately, we know that the optimal outcome will most likely not happen, and that the worst outcome will probably be chosen instead. Explain what it is about Kim's and Abby's reasoning that will lead them both to choose the worst outcome.Your firm's research department has estimated your total revenues to be R left parenthesis Q right parenthesis equals 30 comma 000 Q minus 80 Q squared and your total costs to be C left parenthesis Q right parenthesis equals 1 comma 000 plus 20 Q squared. What level of Q maximizes net benefits?