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Unformatted text preview: n orthogonal to a , b and c . 4. A factory produces four types of cookies: A, B, C, and D. Ingredients needed to make one box of cookies of each type are given in the table: A B C D ﬂour (cups) 3 6 3 6 butter (lb.) 1 2 1 3 sugar (cups) 2 5 3 2 eggs 1 3 2 4 chocolate (lb.) 2 3 2 1 During one hour of operation, the following amounts of ingredients were used: 21 cups of ﬂour, 9 lb. of butter, 11 cups of sugar, 12 eggs, 8 lb. of chocolate. Find how many boxes of each type were produced during that hour. 5. A system of linear equations has the following augmented matrix: 1 42  11 17 7  2 2 31 c  11 , where c is some constant. (a) For which c does the system have at least one solution? (b) Express the general solution of the system in parametric form. There should be diﬀerent cases depending on the value of c ....
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 Spring '08
 Caddmen
 Math, Row echelon form, augmented matrix, 8 lb, 9 lb

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