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1. |
Suppose a lumber mill can turn out up to 900 units of product each week. The mill must produce at least 100 units of lumber and 400 units of plywood. Write the constraints as a system of inequalities where x = the number of units of lumber and y = the number of units of plywood. |
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A. |
x 100, y 400, and x + y 900 |
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B. |
x 100, y 400, and x + y 900 |
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C. |
x 100, y 400, and x + y 900 |
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D. |
x 100, y 400, and x + y 900 |
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Hint |
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2. |
What are the vertices of the triangle formed? |
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A. |
(100, 400), (500, 400), and (100, 800) |
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B. |
(100, 400), (400, 500), and (100, 800) |
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C. |
(100, 400), (500, 400), and (800, 100) |
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D. |
(100, 400), (400, 500), and (800, 100) |
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Hint |
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3. |
The profit for each unit of lumber is $40 and the profit for each unit of plywood is $60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood. |
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A. |
P(x, y) = 60x + 40y |
B. |
P(x, y) = 40x + 60y |
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C. |
P(x, y) = 60x - 40y |
D. |
P(x, y) = 40x - 60y |
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Hint |
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4. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities: y -3x + 1 y x - 4 x 0 y 0 |
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A. |
2 |
B. |
alternate optimal solutions |
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C. |
unbounded |
D. |
infeasible |
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Hint |
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5. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest.Graph this system of inequalities. |
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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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