Two local ready-mix cement manufacturers, Here and There, have combined demand given by Q = 105 – P. Their total costs are given by TC Here = 5 Q Here + 0.5 Q 2 Here and TC There = 5 Q There + 0.5 Q 2 There. If they successfully collude, their maximum joint profits will be:

Amathematical approximation called the rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. thus, if mexico's real gdp per person is growing at 7 percent per year, it will take about 10 years(=70/7) to double. apply the rule of 70 to solve the following problem. real gdp per person in mexico in 2005 was about $11,000 per person, while it was about $44,000 per person in the u. s. if real gdp per person in mexico grows at the rate of 5 percent per year: how long will it take mexico's real gdp per person to reach the level that the united states was at in 2005? (hint: how many times would mexico's 2005 real gdp per person have to double to reach the u. s.'s 2005 real gdp per person?

Problem 9-5. net present value and taxes [lo 1, 2] penguin productions is evaluating a film project. the president of penguin estimates that the film will cost $20,000,000 to produce. in its first year, the film is expected to generate $16,500,000 in net revenue, after which the film will be released to video. video is expected to generate $10,000,000 in net revenue in its first year, $2,500,000 in its second year, and $1,000,000 in its third year. for tax purposes, amortization of the cost of the film will be $12,000,000 in year 1 and $8,000,000 in year 2. the company’s tax rate is 35 percent, and the company requires a 12 percent rate of return on its films. required what is the net present value of the film project? to simplify, assume that all outlays to produce the film occur at time 0. should the company produce the film?

T-comm makes a variety of products. it is organized in two divisions, north and south. the managers for each division are paid, in part, based on the financial performance of their divisions. the south division normally sells to outside customers but, on occasion, also sells to the north division. when it does, corporate policy states that the price must be cost plus 20 percent to ensure a "fair" return to the selling division. south received an order from north for 300 units. south's planned output for the year had been 1,200 units before north's order. south's capacity is 1,500 units per year. the costs for producing those 1,200 units follow