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A bakery makes Queen cakes and Mable cakes. Queen cakes take 30 min each, Mable cakes take 20 min each. Total time available is 4800 min. The number of Queen cakes must be less than or equal to the nu

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

a) Form all the inequalities that represent the above information.

Let xx be the number of Queen cakes and yy be the number of Mable cakes.

  1. Formulate the time constraint.

    Queen cakes take 30 minutes each, and Mable cakes take 20 minutes each. The total time must not be more than 4800 minutes.

    30x+20y≤480030x + 20y \le 4800

    Divide by 10 to simplify:

    3x+2y≤4803x + 2y \le 480
  2. Formulate the constraint for the relationship between the number of cakes.

    The number of Queen cakes (xx)

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