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1. |
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) = 40x + 60y |
B. |
P(x, y) = 60x + 40y |
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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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2. |
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. |
(500, 400) |
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C. |
(100, 800) |
D. |
(300, 500) |
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Hint |
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3. |
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. |
infeasible |
B. |
unbounded |
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C. |
2 |
D. |
alternate optimal solutions |
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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 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 3000 y 5000 x + y 10,000 |
B. |
x 3000 y 5000 x + y 10,000 |
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C. |
x 5000 y 3000 x + y 10,000 |
D. |
x 3000 y 5000 x + y 10,000 |
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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. |
no maximum |
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C. |
440 |
D. |
500 |
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Hint |
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