Evaluate each of the expressions for the given values of the variables and see if the condition is met.
8000*4 +5500*6 = 65000 ≤ 75000 . . . true
52*4 +38*6 = 436 ≥ 320 . . . . . . . . . . . . . true
Yes, the company can meet both its expectations by building 4 cars and 6 motorbikes.
Of course, another way to work this is to draw the graph and see if the offered point is in the feasible region. It is.
8000*4 +5500*6 = 65000 ≤ 75000 . . . true
52*4 +38*6 = 436 ≥ 320 . . . . . . . . . . . . . true
Yes, the company can meet both its expectations by building 4 cars and 6 motorbikes.
Of course, another way to work this is to draw the graph and see if the offered point is in the feasible region. It is.