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 loaf
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Question 154139: 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.
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). Then graph to show results.
You can put this solution on YOUR website! 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.
0 <= w <= 25
0 <= s <= 5
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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.
Wheat inequality: 1.3b + 0.4m <= 25
sugar inequality: 0.5b + 0.16m <= 5
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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).
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Then graph to show results.
Solve eacy inequality for "b" and graph:
wheat inequality: b <= (-0.4/1.3)m + (25/1.3)
sugar inequality: b <= (-0.16/0.5)m + (5/0.5)
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Cheers,
Stan H.