linear programming-maths

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PLEASE HELP!!!!!!!

machines A &B.
Model A machines each cost $200 to make at a profit of $25 each. Model B cost $3oo to make at a $40 profit. Total number of machines do not exceed 2500 a month. Company has no more $600,000 per month for manufacturing cost. Whats the number of units A and B should produce to maximize the monthly profit?

  • linear programming-maths -

    maximize 25a + 40b
    a + b <= 2500
    200a + 300b <= 600000

    Make 2000 machine B for a profit of 80,000

  • linear programming-maths -

    Thanks Steve for the answer:

    maximize 25a + 40b
    a + b <= 2500
    200a + 300b <= 600000

    Make 2000 machine B for a profit of 80,000

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