Farm Production Goal Programming Model – Approach A
Let’s assume the farmers goals are practically identical with the ideal criteria value (vector h). 
The whole model layout on an Excel sheet prepared for Linkosa software shows us the following table: 

Solving these linear programming model using Linkosa software our manager obtains following optimal solution:


Analyzing this optimal solutionwe can see, that the farmer’s cost will be $17 720 (98 + e1)*100, his/her revenues will be exactly $ 50 960 (850 - u2)*100 and the N contamination will be only 266 units(230 + e2). The objective function in this case only summarizes products of weights and under(over)achievements values and the value 2530 has no relevant sense.