A chair company produces two models of chairs. The Sequoia model takes 3 worker-hours to assemble and worker-hour to paint

A chair company produces two models of chairs. The Sequoia model takes 3 worker-hours to assemble and worker-hour to paint. The Saratoga model takes 2 worker-hours to assemble and I worker-hour to paint. The maximum number of worker-hours available to assemble chairs is 240 per day, and the maximum number of worker-hours available to paint chairs is 80 per day. Write a system of linear inequalities to describe the situation. Let x represent the number of Sequoia models produced in a day and y represent the number of Saratoga models produced in a day. Find the region described by this system of linear inequalities.

Expert Solution

Since negative numbers of chairs cannot be produced, x≥ 0 and y ≥0. The inequality for assembly time is 3x + 2y ≤ 240. The inequality

for painting time is -1/2x+y≤80. The system of

inequalities is

[3x+2y≤240,

1/2x+y≤80,

x>=0

y>=0

The region consists of points on or above the x-axis and on or to the right of the y-axis. In addition, the points must be on or below the line 3x+2y= 240 and on or below the line

1/2 x+y=80 (or, equivalently x + 2y = 160).

The region consists of points on or above the x-axis and on or to the right of the y-axis. In addition, the points must be on or below the line 3x+2y= 240 and on or below the line

sümeyye answered 2 years ago

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