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Standard X

Mathematics

Equation of a Line Perpendicular to a Given Line

The corner po...

Question

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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Compare the quantity in Column A and Column B
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Q. The corner points of the feasible region determined by the system of linear constraints are

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Corner Point	Z = 4x+3y
(0, 0)	0
(0, 40)	120
(20, 40)	200
(60, 40)	360
(60, 0)	240

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 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

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 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