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Mrs. Muhungu needs to bake chocolate and yellow cakes. How many of each type should she bake to maximize profit, given constraints like baking at least two chocolate cakes?

Mathematics

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here are the solutions to question 1:

1. Mrs. Muhungu's Cakes

Let xx be the number of chocolate cakes and yy be the number of yellow cakes.

a) How many cakes of each type should Mrs Muhungu bake in order to make maximum profit?

  1. Define variables and objective function.

    Let xx be the number of chocolate cakes and yy be the number of yellow cakes.
    The objective function to maximize profit PP is:

    P=1500x+1000yP = 1500x + 1000y
  2. Establish the constraints.

    1. At least two chocolate cakes: $x \ge 2
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