The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 40), (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

The quantity in column A is greater

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The quantity in column B is greater

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The two quantities are equal

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The relationship can not be determined on the basis of the information
supplied

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Solution

The correct option is A The quantity in column A is greater

Corner Point Z = 4x+3y

(0, 0) 0

(0, 40) 120

(20, 40) 200

(60, 40) 360

(60, 0) 240

From the above table, the maximum value of Z is 360 which is greater than Column B

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Similar questions

Q. 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 can not determined on the basis of information supplied.

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.

$\begin{matrix} Column A & Column B Maximum of Z & 325 \end{matrix}$
(a) The qunatity in column A is greater
(b) The qunatity in column b is greater
(c) The two quantities are equal
(d) The relationship cannot be determined on the basis of the information supplied.