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+y \leq 2000 $
$ x \leq 4 y $
$ x \geq 0 $
$ y \geq 0 $
B)
$ x+y=2000 $
$ x \leq 4 y $
$ x \geq 0 $
$ y \geq 0 $
C)
$ x+y=2000 $
$ y \geq 4 x $
$ x \geq 0 $
$ y \geq 0 $
D)
$ x+y \leq 2000 $
$ 4 x \leq y $
$ x \geq 0 $
$ y \geq 0 $

Question

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+y \leq 2000 $
$ x \leq 4 y $
$ x \geq 0 $
$ y \geq 0 $
B)
$ x+y=2000 $
$ x \leq 4 y $
$ x \geq 0 $
$ y \geq 0 $
C)
$ x+y=2000 $
$ y \geq 4 x $
$ x \geq 0 $
$ y \geq 0 $
D)
$ x+y \leq 2000 $
$ 4 x \leq y $
$ x \geq 0 $
$ y \geq 0 $

Quizplus · Accepted Answer

The first inequality, $ x+y \leq 2000 $, is derived from the fact that the person has no more than $2000 to invest.

The second inequality, $ x \leq 4 y $, is derived from the fact that the telecommunications investment is to be no more than 4 times the pharmaceutical investment.

The last two inequalities, $ x \geq 0 $ and $ y \geq 0 $, reflect the fact that a person cannot invest negative money.

Therefore, the correct answer is A.

Solve the Problem x+y≤2000 x+y \leq 2000 x+y≤2000 x≤4y x \leq 4 y x≤4y

Solve the Problem $x+y \leq 2000$ $x \leq 4 y$