Question

The value of a company's stock is represented by the expression x? - 2y and the company's purchases are modeled by 2x + 5y. The company's goal is to maintain a
stock value of at least $5,000, while keeping the purchases below $1,000. Which system of inequalities represents this scenario?
Ox2 - 2y > 5000
2x + 5y < 1000
Ox? - 2y> 5000
2x + 5y s 1000
Ox2 - 2y > 5000
2x + 5y < 1000
Ox? - 2y s 5000
2x + 5y s 1000

Answer 1

The company's stock and purchase are algebraic expressions

The system of inequalities that represents the value of a company's stock and purchase are $x^2 - 2y \ge 5000$ and 2x + 5y < 1000

How to determine the inequalities?

The stock and the purchase are given as:

Stock = x^2 - 2y

Purchase = 2x + 5y

The stock is at least $5000.

This is represented as:

$x^2 - 2y \ge 5000$

The purchase is below 1000.

This is represented as:

2x + 5y < 1000

Hence, the system of inequalities that represents this scenario are $x^2 - 2y \ge 5000$ and 2x + 5y < 1000

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