What are the linear constraints for which the shaded area in the above figure is the solution set ?

Options

A. ` x - y ge 1 , x = 2y le 8 , x + y ge 1 , x, y ge0 `
B. ` x - y le 1 , x = 2y ge 8 , x + y le 1 , x , y ge 0 `
C. ` x - y le 1 , x + 2y le 8 , x+y ge 1 , x, y ge 0 `
D. ` x - y le , x + 2y le 8 , x + y le 1 , x, y ge 0`

Answer

C

Explanation

The linear constraints for which the shaded region in the given figure is the solution set, are given by :
` x-y le 1, x + 2y le 8, x+y ge1,x, y ge 0.`