The production function gets flatter, while the total cost curve gets steeper due to the fact that C. at higher levels of production firms require less inputs to increase production by the same amount as compared to lower levels of production.
The production function shows the relationship that exists between the inputs and the outputs during the production of a product.
It should be noted that diminishing marginal product is vital for explaining why the increase in the output of a firm results in the production function getting flatter. Also, the total curve becomes steeper.
Therefore, at higher levels of production, firms require fewer inputs to increase production by the same amount.
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