Find the length of the missing side.
1 answer:
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Answer:
The minimum labor = 270 hours and it is obtained when 0 units of plants and 18 animals are collected.
Step-by-step explanation:
We assume that x should represent the number of units of plants
Also y to represent the number of animals.
So, minimze (z) = 30 x + 15 y
Subject to:
30 x + 20 y ≥ 360
10 x + 25 y ≥ 300
y ≤ 8
0 ≤ x ≤ 25
0 ≤ y ≤ 25
Changing the above linear inequalities into linear equation; we have:
30 x + 20 y = 360
10 x + 25 y = 300
y = 8
The graph for the above discussion can be located in the attached diagrammatic expression below:
NOW, the corner points (0,18),(0,25),(25,25), and (25,8) can be calculated from the graph. From the diagram, the corner point can be found by solving the system.
30 x + 20 y = 360
10 x + 25 y = 300
Corner point (10, 8) = 10 x + 25 y = 300
y = 8
Corner point Value of z = 30 x + 15 y
(0,18) 270
(0,25) 375
(25,25) 1125
(25,8) 870
≅ 310.91
(10, 8) 420
∴
The minimum labor = 270 hours and it is obtained when 0 units of plants and 18 animals are collected.
Answer/Step-by-step explanation:
4x - 7 = -2x + 12 (Given)
Add 2x to both sides
4x - 7 + 2x = -2x + 12 + 2x (Addition property of equality)
6x - 7 = 12 (Simplication)
Add 7 to both sides
6x - 7 + 7 = 12 + 7 (Addition property of equality)
6x = 19 (Simplification)
Divide both sides by 6
(Division property of equality)