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13 August, 09:27

Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 500 eggs and 900 cups ofcream. How many quarts of each flavor should you make in order to use up all the eggs and cream?

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  1. 13 August, 11:56
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    in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

    Creamy vanilla x = 200 quarts

    Continental mocha y = 100 quarts

    Step-by-step explanation:

    Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.

    For Creamy Vanilla go 2 eggs and 3 cups of cream

    For Continental Mocha go 1 egg and 3 cups of cream.

    Total number of eggs = 500 eggs

    Total number of cream cups = 900 cups.

    For the eggs;

    2 eggs * x + 1 egg * y = 500

    2x + y = 500 ... 1

    For the cream cups;

    3 cups * x + 3 cups * y = 900

    3x + 3y = 900

    Dividing through by 3

    x + y = 300 ... 2

    Solving the simultaneous equation;

    Subtracting equation 2 from 1

    (2x + y) - (x+y) = 500-300

    2x - x = 200

    x = 200

    Substituting x = 200 into equation 2;

    200 + y = 300

    y = 300 - 200

    y = 100

    Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

    Creamy vanilla x = 200 quarts

    Continental mocha y = 100 quarts
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