I believe that the apple juice is 30% of the proportion because:
when you add everything up: 25+30+45=100
now you must divide the whole cocktail just by the apple juice:
100 : 30 = 3.33333333
Meaning the apple juice takes 30% of the proportion.
Hope i helped
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.
11 units long. When something is rotated it does not change its shape/length, only when it is dilated.