A person with no more than 3000 to invest plans to place the

A person with no more than $3000 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 + y K 3000 x K 4 y x L 0 y L 0

B) x + y K 3000 4 x K y x L 0 y L 0

C) x + y = 3000 x K 4 y x L 0 y L 0

D) x + y = 3000 y L 4 x x L 0 y L

Solution

no more than $3000 should be invested
x+y<=3000

telecommunications investment is to be no more than 4 times the pharmaceuticals investment
x<=4y

telecommunications investment should be non negative
x>=0

pharmaceuticals investment should be non negative
y>=0
These are 4 inequalities that can be formed