as6 - . If it uses the legally permitted maximum of one...

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ECON 331 Written Assignment 6 due in class Oct. 28 1. A large firm controls three factories. The input and output levels of each factory are given by one column of the following matrix (inputs negative,outputs positive). factory a b c good1 1 0 -.5 good2 -2 3 2 good3 0 -.5 2 good4 1 3 -2 good5 1 -2 -1 If the prices of the five goods are given by 23546 find the total profit of the firm. Write down a single matrix formula which represents how you have done this calculation. 2. A refinery can convert one unit of crude oil into three grades of gasoline. If it does not use lead additives it obtains the amounts of the three grades given by 422
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Unformatted text preview: . If it uses the legally permitted maximum of one unit of additives it obtains the amounts 3 0 5 . Assuming that the refinery can treat or not treat any amounts of crude oil it likes, can the company produce the following quantities of the three grades? (a) 11 4 9 (b) 10 3 12 3. Find the row vector x such that A x c T d where A 1 2 1 3 , A 1 3 2 1 1 , c T 2 2 , d 3 1 The matrix A 1 has the properties that A 1 A AA 1 A 1 T A T A T A 1 T 1 0 0 1...
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This note was uploaded on 09/18/2011 for the course ECON 331 taught by Professor Heaps during the Spring '06 term at Simon Fraser.

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