1. A candy shop makes two pre-packaged sweets mixtures. A bag of mixture A conta

Question

1.      A candy shop makes two pre-packaged sweets mixtures.  A bag of mixture A contains 12 ounces of jelly beans, 2 ounces of sugar tarts, and 8 ounces of malt balls and sells for $8.50.  A box of mixture B contains 24 ounces of jelly beans, 6 ounces of sugar tarts, and 4 ounces of malt balls and sells for $13.10.  He has available 10,800 ounces of jelly beans, 2400 ounces of sugar tarts and 4800 ounces of malt balls.  How many boxes of each mixture should be made to maximize revenue?

I just need the equation that you are going to use and I also need the step by step hope you can help me

Explanation / Answer

Let cost of per ounce jelly beans is x, sugar tarts is y & malt balls is z.

Mixture A ==> 12x + 2y + 8z = 8.50;

Mixture B==> 24x + 6y + 4z = 13.10;

Let a and b is the no. of each boxes.

then, 12a + 24b = 10800; 2a + 6b = 2400; 8a + 4b = 4800

a = 300; b = 300 & malt balls are in excess of 1200 ounces.

Total revenue = 300 * 8.50 + 300 * 13.10 = 6480 $

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