United aluminum company of cincinnati produces three grades (high, medium, and low) of aluminum at two mills. each mill has a different production capacity (in tons per day) for each grade, as follows: the company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5 tons of low-grade aluminum. it costs united 2 $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. the company wants to know the number of days to operate each mill in order to meet the contract at the minimum cost. formulate a linear programming model for this problem.

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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

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