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Solve the Problem x+y2000 x+y \leq 2000 x4y x \leq 4 y

Question 146

Multiple Choice

Solve the problem.
-A person with no more than $2000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 4
Times the pharmaceuticals investment. Write a system of inequalities to describe the situation. Let
X = amount to be invested in telecommunications and y = amount to be invested in pharmaceuticals.


A)
x+y2000 x+y \leq 2000
x4y x \leq 4 y
x0 x \geq 0
y0 y \geq 0
B)
x+y=2000 x+y=2000
x4y x \leq 4 y
x0 x \geq 0
y0 y \geq 0
C)
x+y=2000 x+y=2000
y4x y \geq 4 x
x0 x \geq 0
y0 y \geq 0
D)
x+y2000 x+y \leq 2000
4xy 4 x \leq y
x0 x \geq 0
y0 y \geq 0

Correct Answer:

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