The manager of a100-unit apartment complex knows from experience that all units will be occupied if the rent is $700 per month. A market survey suggests that on average, one additional unit will remain vacant for each $10 increase in rent. What rent should the manager charge to maximize revenue?

You are the manager in charge of global operations at bankglobal – a large commercial bank that operates in a number of countries around the world. you must decide whether or not to launch a new advertising campaign in the u.s. market. your accounting department has provided the accompanying statement, which summarizes the financial impact of the advertising campaign on u.s. operations. in addition, you recently received a call from a colleague in charge of foreign operations, and she indicated that her unit would lose $8 million if the u.s. advertising campaign were launched. your goal is to maximize bankglobal’s value. should you launch the new campaign? explain. pre-advertising campaign post-advertising campaign total revenues $18,610,900 $31,980,200 variable cost tv airtime 5,750,350 8,610,400 ad development labor 1,960,580 3,102,450 total variable costs 7,710,930 11,712,850 direct fixed cost depreciation – computer equipment 1,500,000 1,500,000 total direct fixed cost 1,500,000 1,500,000 indirect fixed cost managerial salaries 8,458,100 8,458,100 office supplies 2,003,500 2,003,500 total indirect fixed cost $10,461,600 $10,461,600

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

In which of the following games is it clearly the case that the cooperative outcome of the game is good for the two players and bad for society? a. two oil companies own adjacent oil fields over a common pool of oil, and each company decides whether to drill one well or two wells.b. two airlines dominate air travel between city a and city b, and each airline decides whether to charge a "high" airfare or a "low" airfare on flights between those two cities.c. two superpowers decide whether to build new weapons or to disarm.d. in all of the above cases, the cooperative outcome of the game is good for the two players and bad for society