Question

For a furniture dealer with an investment limit of \[\text{Rs } 50,000\] and space for at most \[60\] pieces, where a table costs \[\text{Rs } 2500\] and a chair costs \[\text{Rs } 500\], which set of inequalities correctly represents the investment and storage constraints (where \[x\] is tables and \[y\] is chairs)?

Options

• \[2500x + 500y \le 50000\] and \[x + y \le 60\]

• \[250x + 75y \le 50000\] and \[x + y \le 60\]

• \[500x + 2500y \le 50000\] and \[x + y = 60\]

• \[2500x + 500y \ge 50000\] and \[x + y \ge 60\]

Answer 1

The dealer has at most \[\text{Rs } 50,000\] to invest, giving the cost constraint \[2500x + 500y \le 50000\]. The storage constraint allows at most \[60\] pieces, giving \[x + y \le 60\].