A factory owner wants to purchase two types of machine A and B for his factory. the machines requires an area of 1000 sq. m and 12 skilled man for running it and its daily output is 50 units whereas the machine B requires 1200 Sq. m area and 8 skilled man and its daily output is 40 units.If an area of 7600 Sq. m and 72 skilled man are available to operate the machines how many machines of each type should be bought to maximize the daily output. solve it graphically
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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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