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tiannahwlit
06.09.2021 •
Mathematics
Lysol has a small carpentry shop in his basement to make bookcases. He makes two sizes,
large and small. His profit on a large bookcase is $80, and his profit on a small bookcase is $50.
It takes Lysol 6 hours to make a large bookcase and 2 hours to make a small one. He can only
spend 24 hours each week on his carpentry work. He must make at least two of each size each
week. What is the maximum weekly profit?
6x+246 241 8-Large books asse
6x+24 L 24 p=90xtsoy
Solved
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Ответ:
Let the number of large bookcases be x and number of small bookcases be y, then
Maximise P = 80x + 50y;
subkect to:
6x + 2y ≤ 24
x, y ≥ 2
The corner points are (2, 2), (2, 6), (3.333, 2)
For (2, 2): P = 80(2) + 50(2) = 160 + 100 = 260
For (2, 6): P = 80(2) + 50(6) = 160 + 300 = 460
For (3.333, 2): P = 80(3.333) + 50(2) = 266.67 + 100 = 366.67
Therefore, for maximum profit, he should produce 2 large bookcases and 6 small bookcases.
Step-by-step explanation:
pl
Ответ:
Hello,
If it is a rectangular field, then to find the other dimension (x), divide the area (A) by the other dimension (y).
x = a / y
x = 7 200 m² / 80 m = 90 cm
Bye :)