| The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0). The objective function is Z = 4x + 3y. | |
| Compare the quantity in Column A and Column B. | |
| Column A | Column B |
| Maximum of Z | 325 |
A) The quantity in column A is greater
B) The quantity in column B is greater
C) The two quantities are equal
D) The relationship cannot be determined on the basis of the information supplied.
Correct Answer: B
Solution :
Construct the following table of values of the objective function:| Corner Point | Value of \[Z=4x+3y\] |
| (0, 0) (0, 40) (20, 40) (60, 20) (60, 0) | \[4\times 0+3\times 0=0\] \[4\times 0+3\times 40=120\] \[4\times 20+3\times 40=200\] \[4\times 60+3\times 20=300\leftarrow Maximum\] \[4\times 60+3\times 0=240\] |
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