Answer:
Excel Solver gives the following solution:
[tex]X_1=8,\,\,X_2=4\,\,X_3=0[/tex]
Step-by-step explanation:
The objetive function, that is intended to maximize is
[tex]Z=2000X_1+1700X_2+1200X_3[/tex]
The constraints of the LP problem are:
[tex]X_1 + X_2 + X_3 <= 12\\\\25X_1 + 20X_2 + 19X_3 <= 280\\\\ X_1,X_2,X_3 >= 0[/tex]
Excel Solver gives the following solution:
[tex]X_1=8,\,\,X_2=4\,\,X_3=0[/tex]
The attached picture gives the configuration used for solver to solve this LP formulation.