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Suppose wheat and sugar are two basic ingredients necessary to bake two items

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The question is associated with linear programming.

Suppose wheat and sugar are two basic ingredients necessary to bake two items: a loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar. To bake each muffin, the baker need needs 0.4 pound of wheat and 0.16 pound of sugar.

a) Set up the inequalities representing the baker's possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar).

b) If each loaf of bread is sold for $2.50, and each muffin is sold for $1.15, define an equation to represent the baker's revenue function.

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Solution Summary

This solution is comprised of a detailed explanation to set up the inequalities representing the baker's possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar).

Solution Preview

Suppose the baker can bake x loafs of bread and y muffin.
(a) The system of inequalities ...

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