The maximum profit which can meet the constraints is

Question

A manufacturer produces two types of products, 1 and 2, at production levels of x₁ and x₂ respectively. The profit is given is 2x₁ + 5x₂. The production constraints are

x₁ + 3x₂  $\leq$ 40

3x₁  3x₂ $\leq$ 24

x₁ + x₂ $\leq$ 10

x₁ > 0, x₂ $\leq$ 0

The maximum profit which can meet the constraints is                                                                                        

      (a) 29                              (b) 28                           (c) 44                              (d) 75