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Math121 Discussion - 5th week answers

# Math121 Discussion - 5th week answers - 8 3 3(a To maximize...

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MATH 121 DISCUSSION WEEK 5 SOLUTIONS 1) (a) A - 1 = - 19 17 10 10 - 9 - 5 - 2 2 1 (b) A - 1 A = I , i.e. - 19 17 10 10 - 9 - 5 - 2 2 1 1 3 5 0 1 5 2 4 1 = 1 0 0 0 1 0 0 0 1 (c) ( x, y, z ) = (197 , - 103 , 21) 2) (a) Graph the feasible set in the xy - plane and you will see that there are 3 corner points and 3 boundary lines. (b) ( 5 2 , 10 3 ) is not in the feasible set. (c) Minimum = 155 8 . Occurs at ( 21 8 , 1). (d) Maximum = 34. Occurs at (2
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Unformatted text preview: , 8 3 ). 3) (a) To maximize proﬁt, the estate would need to sell 0 bottles of white wine and 92 bottle of red wine. (b) Maximum possible revenue = \$3680. 4) (a) To minimize shipping costs, Arctic should send 40 engines to Plant 1 and 30 engines to Plant 2. (b) Minimum possible shipping costs = \$2250. 1...
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