an electronic store makes a profit of $25 for every portable dvd player sold and $55 for every dvd recorder sold. the managers target is to make at least $225 a day on sales of the portable dvd players and dvd recorders rite an inequality that represents the number of oth kinds of dvd players that can beold to reach or beat th e sales target let p represent the number of portable dvd players and r represenr the number of dvd recorders
To represent the number of portable DVD players, let p represent the variable.
To represent the number of DVD recorders, let r represent the variable.
Given that the store makes a profit of $25 for every portable DVD player sold and $55 for every DVD recorder sold, we can express the profit made from selling p portable DVD players as 25p and the profit made from selling r DVD recorders as 55r.
The manager's target is to make at least $225 a day. So, the inequality representing the number of both kinds of DVD players that can be sold to reach or beat the sales target is:
25p + 55r ≥ 225.
Let's say the number of portable DVD players is represented by 'p' and the number of DVD recorders is represented by 'r'.
To represent the profit made from selling portable DVD players, we multiply the number of players sold by the profit per player:
Profit from portable DVD players = $25 * p
Similarly, to represent the profit made from selling DVD recorders, we multiply the number of recorders sold by the profit per recorder:
Profit from DVD recorders = $55 * r
We want to find an inequality that represents the number of both kinds of DVD players (portable and recorders) that can be sold to reach or beat the sales target of $225.
So, the inequality would be:
Profit from portable DVD players + Profit from DVD recorders ≥ Target sales
Replacing the values:
$25 * p + $55 * r ≥ $225
Thus, the inequality that represents the number of portable DVD players and DVD recorders that can be sold to reach or beat the sales target is:
25p + 55r ≥ 225
To write an inequality that represents the number of portable DVD players and DVD recorders that can be sold to reach or beat the sales target, we can begin by setting up the profit equations for each type of device.
Let's assume the number of portable DVD players sold is represented by 'p' and the number of DVD recorders sold is represented by 'r.'
The profit made from selling portable DVD players can be calculated as $25 multiplied by the number of portable DVD players sold, which gives us 25p.
Similarly, the profit made from selling DVD recorders is $55 multiplied by the number of DVD recorders sold, which gives us 55r.
To reach or beat the sales target of $225, we need to combine the profits from both types of devices and set up an inequality.
The inequality can be written as:
25p + 55r ≥ 225
This inequality states that the combined profit from selling portable DVD players (25p) and DVD recorders (55r) must be greater than or equal to $225 for the store to reach or beat the sales target.