Question

A furniture dealer invests in tables (\[x\]) and chairs (\[y\]). He has \[\text{Rs } 50,000\] to invest and storage space for at most \[60\] pieces. A table costs \[\text{Rs } 2500\] and gives a profit of \[\text{Rs } 250\], while a chair costs \[\text{Rs } 500\] and gives a profit of \[\text{Rs } 75\]. What is the objective function to maximise total profit \[Z\]?

Options

• \[Z = 60x + 50000y\]

• \[Z = 75x + 250y\]

• \[Z = 2500x + 500y\]

• \[Z = 250x + 75y\]

Answer 1

Since each table gives a profit of \[\text{Rs } 250\] and each chair gives a profit of \[\text{Rs } 75\], the total profit function to be maximised is given by \[Z = 250x + 75y\].