A sports store makes a profit of $50 on every pair of cross-country skies sold and $125 on every set of snowshoes sold. The manager's goal is to have a profit of at least $700 a day from the sales of these to items. Write an Linear inequality that describes this goal.
number of skies --- x
number of snowshoes --- y
50x + 125y ≥ 700
or
2x + 5y ≥ 28
Let's assume that the number of pairs of cross-country skies sold per day is represented by "x" and the number of sets of snowshoes sold per day is represented by "y".
The profit from selling cross-country skies is $50 per pair, so the profit from selling x pairs of cross-country skies is 50x.
Similarly, the profit from selling snowshoes is $125 per set, so the profit from selling y sets of snowshoes is 125y.
The manager's goal is to have a profit of at least $700 per day. Therefore, we can write the linear inequality as:
50x + 125y ≥ 700
This inequality represents the manager's goal of having a profit of at least $700 a day from the sales of cross-country skies and snowshoes.
To write a linear inequality that describes the manager's goal of having a profit of at least $700 a day from the sales of cross-country skies and snowshoes, we need to consider the profits from each item.
Let's denote the number of pairs of cross-country skies sold as "x" and the number of sets of snowshoes sold as "y".
The profit from selling cross-country skies is $50 per pair, so the profit from selling "x" pairs of cross-country skies will be 50x.
The profit from selling snowshoes is $125 per set, so the profit from selling "y" sets of snowshoes will be 125y.
Now, we can write the linear inequality by summing up the profits and setting them greater than or equal to the manager's goal of $700:
50x + 125y ≥ 700
This linear inequality represents the manager's goal of making at least $700 in profit per day from the sales of cross-country skies and snowshoes.