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A factory produces two products X and Y . The profit earned by selling X and \(Y\) is represented by the objective funct…

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A factory produces two products X and Y . The profit earned by selling X and \(Y\) is represented by the objective function \(Z=5 x+7 y\), where \(x\) and \(y\) are the number of units of X and Y respectively sold. Which of the following statement is correct?

a

The objective function maximizes the difference of the profit earned from products X and Y.

b

The objective function measures the total production of products X and Y

c

The objective function maximizes the combined profit earned from selling X and Y.

d

The objective function ensures the company produces more of product X than product Y .

✓ Correct answer: c)

The objective function maximizes the combined profit earned from selling X and Y.

Explanation

\(Z=5 x+7 y=(\) profit per X\() \times x+(\) profit per Y\() \times y\)

\(\Rightarrow Z\) is the combined profit to be maximized (in an LPP).

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