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2 answers:
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Answer:
The amount invested at Investment A must be greater than or equal to $2,750
The amount invested at Investment B must be less than or equal to $2,250
Step-by-step explanation:
Let
x -----> the amount invested at Investment A yields 5%
y -----> the amount invested at Investment B yields 8%
we know that
-----> equation A
-----> inequality B
-----> inequality C
-----> inequality D
Substitute equation A in the inequality D and solve for y
Multiply by 2 both sides
Multiply by -1 both sides
Adds y both sides
adds 10,000 both sides
Divide by 3 both sides
-----> inequality E
therefore
<em>Solve for y</em>
we have
-----> inequality C
-----> inequality E
The solution of inequality C and inequality E is
For y=2,250
x=5,000-y ----> x=5,000-2,250=2,750
so
-----> inequality F
<em>Solve for x</em>
we have
-----> inequality B
-----> inequality F
The solution of inequality B and inequality F is
therefore
The amount invested at Investment A must be greater than or equal to $2,750
The amount invested at Investment B must be less than or equal to $2,250