A linear program maximizes 5x+4y subject to x+y<=8, x<=5, y<=6, and nonnegative variables. Objective value at corner (5,3) is most nearly:
- (A)9.25
- (B)18.5
- (C)27.8
- (D)37
Show worked solution
Answer: (D)
Substitution at the stated feasible corner gives 37.
The decision variables, constraints, or state model define the quantitative result.
Substitution and unit reduction give the reported value.
FE Reference Handbook — Operations Research: Linear Programming
Why the other choices appear
- (A)This introduces an extra factor of 0.25 that is not present in the governing relation.
- (B)This value is 50% below the verified result; no stated conversion creates that change.
- (C)The units are retained, but an unsupported 0.75 multiplier changes the requested magnitude.