Question

A wholesaler has less than $75,000 to spend on certain models of TV sets and Blu-ray players. If the TV sets may be obtained at $375 each and Blu-ray players at $250 each, write an inequality to represent how many of each can be purchased.

Answer 1

The inequality representing the purchase of TV sets and Blu-ray players with less than $75,000 is 375T + 250B < 75,000, where T is the number of TV sets and B is the number of Blu-ray players.

Step-by-step explanation:

To write an inequality representing the number of TV sets and Blu-ray players a wholesaler can purchase with less than $75,000, let's designate T as the number of TV sets and B as the number of Blu-ray players. Given that each TV set costs $375 and each Blu-ray player costs $250, the following inequality can represent this budget constraint: 375T + 250B < 75,000

This inequality indicates that the total cost of purchasing T TV sets and B Blu-ray players must be less than $75,000. It shows the relationship between the number of items the wholesaler can purchase and the budget constraints they face, similar to the way the budget constraint line in Figure 6.2 shows the combinations of affordable movies and T-shirts for José who has a limited budget.