An electronics store makes a profit of $20 for every standard DVD player sold and $30 for every portable DVD player sold. The manager's target is to make at least $300 per day on sales from both types of DVD players.

Question

An electronics store makes a profit of $20 for every standard DVD player sold and $30 for every portable DVD player sold. The manager's target is to make at least $300 per day on sales from both types of DVD players.

Part A: Write an inequality that represents the numbers of both kinds of DVD player that can be sold to reach or exceed the sales target.

Let x represent the number of standard DVD players
Let y represent the number of portable DVD players

Answer 1

The profit made by selling x standard DVD players is $20x.

The profit made by selling y portable DVD players is $30y.

To make at least $300 in profit, we can write the following inequality:

$20x + $30y ≥ $300

Therefore, the inequality that represents the number of both kinds of DVD player that can be sold to reach or exceed the sales target is:

20x + 30y ≥ 300.