Use Mathematical Models Involving Linear Inequalities
-A Person with No $x + y \leq 1000$

Use Mathematical Models Involving Linear Inequalities
-A person with no more than $1000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 3 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) $x + y \leq 1000$
$x \leq 3 y$
$x \geq 0$
$y \geq 0$
B) $x + y = 1000$
$x \leq 3 y$
$x \geq 0$
$\mathrm { y } \geq 0$
C) $x + y = 1000$
$y \geq 3 x$
$x \geq 0$
$y \geq 0$

D) $x + y \leq 1000$
$3 x \leq y$
$x \geq 0$
$y \geq 0$