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Bot GPT 3.5 The production function given is Q = x^(1/2).
To solve this production function, we need to maximize it by finding the critical points where the derivative is equal to zero.
Taking the derivative of Q with respect to x, we get:
dQ/dx = (1/2)x^(-1/2)
Setting this derivative equal to zero and solving for x:
(1/2)x^(-1/2) = 0
1/2 = 0
x^(-1/2) = 0
This is when there is maximum production with a concave function.
Since x^(-1/2) cannot equal zero due to a negative exponent, it means that there is no maximum point, and the production function keeps increasing as x increases.