Using only the portion of the computer output for a linear p

Using only the portion of the computer output for a linear programming problem presented below. Over what range can the coefficient of x1 vary before the current solution is no longer optimal? 1.3333 to 1.5000 There is insufficient information to make the determination. 0.5000 to 1.5000 1.3333 to 4.0000

Solution

Given, the value and range of x1 in the computer output.

Current coefficient of x1 = 2

Allowance increase in x1 for optimal solution = 2

thus, after increase, x1 is = 2+2 = 4

Allowable decrease in x1 for optimal solution = 0.6667

thus, after decrease, x1 is = 2 - 0.6667 = 1.3333

Therefore, the range of x1 for optimal solution is 1.3333 to 4.