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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. |
If the lumber mill can turn out 900 units of product each week and must produce 100 units of lumber and 400 units of plywood, graph the systems of inequalities. Let x = units of lumber, and y = units of plywood. |
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B. |
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D. |
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Hint |
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3. |
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 (800, 100) |
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C. |
(100, 400), (400, 500), and (100, 800) |
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D. |
(100, 400), (500, 400), and (800, 100) |
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Hint |
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4. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
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A. |
(100, 400) |
B. |
(100, 800) |
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C. |
(300, 500) |
D. |
(500, 400) |
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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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Hint |
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