Q: Why isoquants convex?

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law of diminishing returns

The further the Isoquant is from the origin, the greater will be the level of output (i.e a higher isoquant represent a higher level of output) Two Isoquants can never intersect each other Isoquants always slopes downward

ridge lines is the combination of isoquants

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producers equilibrium is achieved with isoquants and isocost curves

Ridge lines is a concept in Micro Economics related to Isoquants (which shows different combination of inputs for the same level of output). However, after a certain point Isoquant begins to slope upward, if there are 2 or more isoquants then there would be similar points on the other isoquants too... on joining these points, you get the ridge lines. Note: the point from where Isoquant slopes upward is a point where the marginal product of one of the input is negative.

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the union of two convex sets need not be a convex set.

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The lens of the eye is biconvex (convex on both sides).