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Assigning a value of 10 to the objective function, i.e., making 5x1 + 2x2 =10, the line representing the objective function goes through the following two points a. (10, 0) and (4, 0)b. (10, 0) and (0, 4)c. (0, 10) and (0, 4)d. (0, 10) and (4, 0)e. none of the above

User StefanM
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1 Answer

3 votes

Answer:

Option e.

Explanation:

Assigning a value of 10 to the objective function, the equation of line is


5x_1+2x_2=10

At
x_1=0


5(0)+2x_2=10


2x_2=10


x_2=5

It means the line passes through (0,5).

At
x_2=0


5x_1+2(0)=10


5x_1=10


x_1=2

It means the line passes through (2,0).

The line does not passes though the given points.

Therefore, the correct option is e.

User Onekiloparsec
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7.5k points