SOLUTION: Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas.Flour costs $1.50/lb.Cornmeal costs $2.50/lb.You want to spend less than $9.50 on flour and co

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Question 123050This question is from textbook prentice hall mathematics algebra
: Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas.Flour costs $1.50/lb.Cornmeal costs $2.50/lb.You want to spend less than $9.50 on flour and cornmeal,and you need at least 4 lb altogether.
a.Write a system of inequalities that describes this situation.
b.Graph the system to show all possible solutions.
This question is from textbook prentice hall mathematics algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas.
Flour costs $1.50/lb.Cornmeal costs $2.50/lb.
You want to spend less than $9.50 on flour and cornmeal,and you need at least 4 lb altogether.
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a.Write a system of inequalities that describes this situation.
0<=f<=4
0<=c<=0
Quantity Inequality: f+c>=4
Cost Inequality: 1.5f + 2.5c <9.5
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b.Graph the system to show all possible solutions.
Draw a vertical line at c=4
Draw a horizontal line at f=4
Graph f=4-c as a solid line.
Shade the half-plane above it.
-----------
Graph f=(-2.5/1.5)c+(9.5/1.5) as a dashed line.
Shade the half-plane below it.
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The intersection of the half-planes including the boundary f=4-c
is the solution area.
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Cheers,
Stan H.
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C4-x%2C%28-2.5%2F1.5%29x%2B%289.5%2F1.5%29%29
=================
Cheers,
stan H.