a factory manufactures two types of machines X n y and earns a profit of each. 20 per unit of x and especially. 30 per unit of y. exhibit of x require 3 motor and 2 transformers and each unit of y required 2 motors and 4 transformers the total supply of components per month y is restricted to 210 motors and 300 transformers. how many of each machines should be manufactures per month so as to maximise profit? solve graphic
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Heya,,
Let x and y respectively be the number of machines A and B, which the factory owner should buy.
Now, according to the given information, the linear programming problem is:
Maximise Z = 60x + 40y
Subject to the constraints
1000x + 1200y ≤ 9000
⇒ 5x+ 6y ≤ 45 …(1)
12x + 8y ≤ 72
⇒ 3x + 2y ≤ 18 …(2)
x ≥ 0, y ≥ 0 …(3)
The inequalities (1), (2), and (3) can be graphed as:
Attachments:
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