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2x - × + 4x simplify
1 answer:
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Answer:
198.56
Step-by-step explanation:
To find the volume of a cylinder, you need to find the area of the cross-section (one of the circles on the side) and multiply it by the length.
Area of the circle = π = π x (5.3/2) x (5.3/2) = π x 2.65 x 2.65 = 7.0225π
Volume of the cylinder = 7.0225π x 9 = 63.2025π = 198.56
Answer:
(x,y)=(0,7.333)
Step-by-step explanation:
We are required to:
Maximize p = x + 2y subject to
- x + 3y ≤ 22
- 2x + y ≤ 14
- x ≥ 0, y ≥ 0.
The graph of the lines are plotted and attached below.
From the graph, the vertices of the feasible region are:
- (0,7.333)
- (4,6)
- (0,0)
- (7,0)
At (0,7.333), p=0+2(7.333)=14.666
At (4,6), p=4+2(6)=4+12=16
At (0,0), p=0
At (7,0), p=7+2(0)=7
Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).
At x=0 and y=7.333, the function p is maximized.
