Which of the points shown below are on the line given by the equation y = x - 1? Check all that apply.
2 answers:
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Answer:
- 30 chairs, 18 tables
- $3900
Step-by-step explanation:
If x and y represent the numbers of chairs and tables Pierre wants to make, then he wants to ...
Maximize 55x +125y
subject to the constraints ...
6x +10y ≤ 360 . . . . . limit on available boards
12x +40y ≤ 1080 . . . limit on available nails
y ≥ 6 . . . . . . . . . . . . . minimum number of tables to sell
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When there are two variables, it is often convenient to graph the constraints to find the feasible solution region. The graph shows the vertices of the feasible region to be (0, 27), (30, 18), (50, 6), and (0, 6).
Pierre's profit is maximized by selling 30 chairs and 18 tables. His maximum profit is $3900.
