SOLUTION: 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 lo

Algebra ->  Equations -> SOLUTION: 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 lo      Log On


   

Question 346814: 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 needs 0.4 pound of wheat and 0.15 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 profit function.
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the number of loaves of bread. Let represent the number of muffins.

a) Constraints:





(you can't make a negative number of loaves)

(you can't make a negative number of muffins)

(you can't make fractional parts of loaves or muffins)

b) Let represent the cost of manufacturing a loaf of bread. Let represent the cost of manufacturing a muffin. Then the profit function would be:



John

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