Imagine there are two series of science-fictions: The Three-Body Problem (T) and Galactic Empires (G). Your utility function is U = TG, where T is the number of books you consume for The Three-Body Problem, and G is the number of books you consume for Galactic Empires. If your budget is $200, the price of each book of The Three-Body Problem (T) is $50, and the price of each book of Galactic Empires (G) is $100, how many books of The Three-Body Problem (T) will you consume?

Arival company manufactures fuel tanks for cars using a different production technique. the total weekly cost (in dollars) of producing x tanks is given by c(x) = 10000 +90x - 0.04x2 find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (round to the nearest 2 decimal places, if needed)

Larissa has also provided the following information. during the year, the company raised $36 million in new long-term debt and retired $20.52 million in long-term debt. the company also sold $22 million in new stock and repurchased $32.4 million. the company purchased $54 million in fixed assets, and sold $6,107,400 in fixed assets. larissa has asked dan to prepare the financial statement of cash flows and the accounting statement of cash flows. she has also asked you to answer the following questions: 1. how would you describe east coast yachts' cash flows? 2. which cash flows statement more accurately describes the cash flows at the company? 3. in light of your previous answers, comment on larissa's expansion plans.

Suppose that a worker in agland can produce either 10 units of organic grain or 2 units of incense per year, and a worker in zenland can produce either 5 units of organic grain or 15 units of incense per year. there are 20 workers in agland and 10 workers in zenland. currently the two countries do not trade. agland produces and consumes 100 units of grain and 20 units of incense per year. zenland produces and consumes 50 units of grain and no incense per year. if each country made the decision to specialize in producing the good in which it has a comparative advantage, then the combined yearly output of the two countries would increase by a. 30 units of grain and 100 units of incense. b. 30 units of grain and 150 units of incense. c. 50 units of grain and 90 units of incense. d. 50 units of grain and 130 units of ince