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1. |
A feasible region has vertices at (4, 6), (-2, 3), (2, -2), and (3, 1). At which point is the maximum value of the function f(x, y) = 2x + y? |
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A. |
f(2, -2) |
B. |
f(3, 1) |
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C. |
f(4, 6) |
D. |
f(-2, 3) |
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Hint |
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2. |
Which coordinates are not of the vertices of the feasible region for the system of inequalities? 
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A. |
(0, 6) |
B. |
(5, 1) |
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C. |
(5, 4) |
D. |
(2, 4) |
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Hint |
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3. |
Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region. |
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A. |
27 |
B. |
-14 |
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C. |
14 |
D. |
-28 |
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Hint |
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4. |
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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5. |
A baker earns 15¢ profit per glazed doughnut g, and 40¢ profit per jelly doughnut j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what is the maximum profit the baker can earn? |
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A. |
$3.30 |
B. |
$4.80 |
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C. |
$4.55 |
D. |
$1.80 |
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Hint |
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