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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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This note was uploaded on 12/07/2010 for the course MATH Math 121 taught by Professor Beaulieu during the Fall '10 term at UMass (Amherst).
 Fall '10
 Beaulieu
 Math, Probability

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