SOLUTION: Please help me with this word problem, I'm very puzzled and have been trying to come up with a solution for hours! Suppose wheat and sugar are two basic ingredients necessary to ba

Question 109826: Please help me with this word problem, I'm very puzzled and have been trying to come up with a solution for hours! 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 pounds of sugar. To bake each muffin, the baker needs 0.4 pound of wheat and 0.16 pound of sugar.
1) 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).
2) 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 formula.
Answer by stanbon(75887) (Show Source): 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.
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Let # of loafs of bread be "b"; Let # of muffins be "m"
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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 pounds of sugar.
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To bake each muffin, the baker needs 0.4 pound of wheat and 0.16 pound of sugar.
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Wheat INEQUALITY: 1.3b + 0.4m <= 25 lbs
Sugar INEQUALITY: 0.5b + 0.16m <= 5 lbs
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1) 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).
----------------
2) 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 formula.
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Profit EQUALITY: Profit = 2.5b + 1.15m
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Cheers,
Stan H.
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