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

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

its a straight line parallel to the time axis

47 - 90 = 43

43 - 180 = x

x = 137