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An electronics store makes a profit of $72 for every standard CD player sold and $90 for every portable CD player sold. The manager’s target is to make at least $360 a day on sales from standard and portable CD players.Write an inequality that represents the numbers of both kinds of CD players that can be sold to reach or exceed the sales target. Let s represent the number of standard CD players and p represent the number of portable CD players

The inequality that represents the numbers of both kinds of CD players that can be sold to reach or exceed the sales target is:

[tex]\[ 72s + 90p \geq 360 \][/tex]

To write an inequality that represents the sales target, we need to consider the profit made from each type of CD player and the total profit required per day.

Let [tex]\( s \)[/tex] represent the number of standard CD players sold, and [tex]\( p \)[/tex] represent the number of portable CD players sold. According to the information given, the store makes a profit of $72 for every standard CD player and $90 for every portable CD player.

The manager's target is to make at least $360 a day from the sales of these CD players. To find out how many of each type of CD player need to be sold to meet this target, we can set up the following inequality:

[tex]\[ 72s + 90p \geq 360 \][/tex]

Here, [tex]\( 72s \)[/tex] represents the total profit from standard CD players, and [tex]\( 90p \)[/tex] represents the total profit from portable CD players. The sum of these two amounts must be greater than or equal to the target profit of $360.

This inequality accounts for all possible combinations of standard and portable CD players that can be sold to meet or exceed the daily profit target. It is important to note that the inequality uses the  greater than or equal to  symbol [tex](\( \geq \))[/tex] because the store wants to make at least $360, and any amount over that is also acceptable.

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