The region shaded horziontally is represented by the inequations

Options

A. `y ge 0, 3x +2y ge 12, x+2y le 8`
B. `y le 0,3x + 2y le 12, x +2y le 8`
C. `y ge 0, 3x + 2y ge 12, x +2y ge 8 `
D. `y ge 0, 3x + 2y le 12,x +2y ge 8 `

Answer

A

Explanation

The region shaded horziontalty is bounded by the triangle EAC whose sides lie along the lines y = 0, x + 2y = 8 and 3x + 2y = 12 (use two point form to find the equations of these lines)
` therefore ` The region in reference is represented by
` y ge 0, 3x +2y =8 ` and ` x +2y le 8`
Which are satisfired by the point (5,1) of the region .