Question 210076: Suppose wheat and sugar are the 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 0.16 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).
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Suppose wheat and sugar are the 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 0.16 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).
;
Let b = loaves of bread
Let m = no. of muffins
:
The wheat inequality
1.3b + .4m =< 25
:
The sugar inequality
.5b + .16m =< 5
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