The Cobb-Douglas production function is given by

Show that is production function is homogeneous of degree 3 (i. e. exhibits increasing returns to scale) and verify the Euler’s theorem

The price of trade suppose that portugal and sweden both produce rye and wine. portugal's opportunity cost of producing a bottle of wine is 4 bushels of rye while sweden's opportunity cost of producing a bottle of wine is 10 bushels of rye. by comparing the opportunity cost of producing wine in the two countries, you can tell thatportugal/sweden has a comparative advantage in the production of wine. andportugal/sweden has a comparative advantage in the production of rye. suppose that portugal and sweden consider trading wine and rye with each other. portugal can gain from specialization and trade as long as it receives more rye for each bottle of wine it exports to sweden. similarly, sweden can gain from trade as long as it receives more bottles of wine for each bushel of rye it exports to portugal. based on your answer to the last question, which of the following prices of trade (that is, price of wine in terms of rye) would allow both sweden and portugal to gain from trade? a. 1 bushels of rye per bottle of wineb. 8 bushels of rye per bottle of winec. 9 bushels of rye per bottle of wined. 3 bushels of rye per bottle of wine

Big trail running company has started to produce running apparel in addition to the trail running shoes that they have manufactured for years. they feel that a departmental overhead rate would best reflect their overall manufacturing overhead usage. based on research the following information was gathered for the upcoming year: machining department finishing department estimated manufacturing overhead by department $ 600 comma 000 $ 400 comma 000 trail running shoes 440 comma 000 machine hours 11 comma 000 direct labor hours running apparel 60 comma 000 machine hours 39 comma 000 direct labor hours manufacturing overhead is driven by machine hours for the machining department and direct labor hours for the finishing department. at the end of the year, the following information was gathered related to the production of the trail running shoes and running apparel: machining department finishing department trail running shoes 442 comma 000 hours 10 comma 500 hours running apparel 57 comma 000 hours 40 comma 000 hours how much manufacturing overhead will be allocated to the trail running shoes

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