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Suppose that the production function y=f(x_1,x_2) (where: y is output level, x_1 is a variable input...

Suppose that the production function y=f(x_1,x_2) (where: y is output level, x_1 is a variable input and x_2 is a fixed input), is plotted in the (y, x_1) space. According to economic theory, we would expect:

    a.  y to increase with x_1 at a decreasing rate, due to increasing returns to scale.

    b.  y to increase with x_1 at an increasing rate, due to diminishing returns to scale.

    c.  y to increase with x_1 at a decreasing rate, due to diminishing returns to scale.

    d. y to increase with x_1 at an increasing rate, due to increasing returns to scale.

Please explain!

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