A painting firm in Amman, Jordan can paint x number of walls and y number of windows each week. If it takes 4 hours to paint a wall and 2 hours to paint a window, and 2 painters are employed, each working 35 hours which of the options defines the feasibility region for this work?
A) 4x + 2y ≥ 70
B) 4x - 2y ≥70
C) 4x + 2y ≤ 70
D) 4x - 2y ≤ 70

Question

Quizplus · Accepted Answer

Given that each painter works 35 hours a week and there are 2 painters, the total work hours available per week are 70 hours. Since it takes 4 hours to paint a wall and 2 hours to paint a window, the combined time spent on x walls and y windows should not exceed the total available hours. Therefore, the equation 4x + 2y ≤ 70 correctly represents the constraint on the painters' time, defining the feasibility region for their work.

A Painting Firm in Amman, Jordan Can Paint X Number