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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. |
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. |
unbounded |
B. |
2 |
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C. |
alternate optimal solutions |
D. |
infeasible |
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Hint |
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3. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account that earns 3% interest. He wants no less than $5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. |
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A. |
x 5000 y 3000 x + y 10,000 |
B. |
x 3000 y 5000 x + y 10,000 |
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C. |
x 3000 y 5000 x + y 10,000 |
D. |
x 3000 y 5000 x + y 10,000 |
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Hint |
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4. |
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. |
 |
B. |
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C. |
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D. |
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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. For the equation l(x, y) = 30x + 70y find the maximum interest if the vertices are (3,5), (3,7) and (5,5) |
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A. |
580 |
B. |
500 |
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C. |
440 |
D. |
no maximum |
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Hint |
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