
### Instruction: help me answer this question The shaded area in the graph satisfies all the given inequalities and hence is the solution area for given inequalities 3x + 2y ≤ 150, x + 4y ≤ 80, x ≤ 15, y ≥ 0, x ≥ 0, think step by step
### Assistant:  , The answer is The solution area for the given inequalities is the shaded area in the graph, which satisfies all the given inequalities simultaneously. This area is to the left side of the line graph of 3x + 2y = 150 and x + 4y = 80, on the left of the line x = 15, and in the first quadrant.
