Let x and y are the number of tables and chairs respectively, on which a furniture dealer wants to make profit for the constraints Maximise Z = 250x + 75 y
`5x+y le 100, x +y le 60 x ge 0 y ge 0`
consider the following graph

Then, the maximum profit to the dealer results from buying

Options

A. 10 tables and 50 chairs
B. 50 tables and 10 chairs
C. 0 table and 60 chairs
D. 20 tables and 40 chairs

Answer

A

Explanation

The graph of the given constraints is shown below

The corner points of the feasible region are o (0, 0), A (20, 0), B (10, 50) and C (0, 60).

Hence, the maximum profit to the dealer results from the investment strategy (1 O, 50), i.e. buying 1 o tables and 50 chairs.