Suppose the production function for widgets is given by Y = KL - 0.8K²- 0.2L²where Y represents the annual quantity of widgets produced, K represents annual capital input, and L represents annual labour input.
i)Supposing K = 10, graph the total and average product of labour curves. At what level of labour input does this average product reach a maximum? How many widgets are produced at that point?
ii)Again assuming that K = 10 graph the marginal product of labour (MPL)curve. At what level of labour input does MPL = 0?
iii)Suppose that the capital inputs were increased to K = 20. How would your answers to parts a and b change?

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The Answer of Suppose the production function for widgets is given by Y = KL - 0.8K²- 0.2L²where Y represents the annual quantity of widgets produced, K represents annual capital input, and L represents annual labour input. i)Supposing K = 10, graph the total and average product of labour curves. At what level of labour input does this average product reach a maximum? How many widgets are produced at that point? ii)Again assuming that K = 10 graph the marginal product of labour (MPL)curve. At what level of labour input does MPL = 0? iii)Suppose that the capital inputs were increased to K = 20. How would your answers to parts a and b change?

Suppose the Production Function for Widgets Is Given by Y