A furniture factory produces a combination of two brands of cabinets, each cabinet is made of white

Updated on furniture 2024-08-29
1 answers
  1. Anonymous users2024-01-24

    6x+12y≤120

    8x+4y≤64

    x∈Ny∈N

    …(1 point) The objective function is z=200x+240y....(2 points) Make a binary inequality The plane region (shaded part) represented by the linear domain can be deformed to Z=200x+240y

    6x+1240z, the slope is -5

    6, the intercept on the shaft is 1

    240z, a family of parallel lines that change with z

    When 6x+1240z passes through M in the feasible domain, the intercept is 1

    240z max, i.e. z max....6 points) to solve a system of equations.

    6x+12y=120

    8x+4y=64

    The coordinates of A are x=4, y=8 ....(7 points).

    So zmax = 200x + 240y = 2720 A: The company produces 4 and 8 combination cabinets of A and B models every day, which can generate the largest profit, and the maximum profit is 2720 yuan

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