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36.6 46.2
9
8
input
We want to know for what x will Fy(x) = 30. Let's look at what Fy does: There are 3 feet in a yard, so to get from yards to feet, Fy takes the input x, and multiplies it by 3: x (yards) * 3 (feet/yard) = 3*x feet Thus we want to solve 3x = 30 Divide both sides by 3: x = 10
36.6 46.2
9
8
A __________ function takes the exponential function's output and returns the exponential function's input.
output
input
10
A homogeneous production function exhibits constant returns to scale, meaning that doubling all inputs leads to an exactly doubled output. A non-homogeneous production function does not exhibit constant returns to scale and shows varying output levels when inputs are changed.
We want to know for what x will Fy(x) = 30. Let's look at what Fy does: There are 3 feet in a yard, so to get from yards to feet, Fy takes the input x, and multiplies it by 3: x (yards) * 3 (feet/yard) = 3*x feet Thus we want to solve 3x = 30 Divide both sides by 3: x = 10
Diminishing returns occur when a function satisfies Innada conditions or, to bemore specific, when:The first derivative of the function is positiveThe second derivative of the function is negative.Diminishing describes the tendency of increases in returns to decline asymptotically towards zero.
Length of input arm (input force to the fulcrum) divided by the Length of the output arm (output force to the fulcrum)exampledin/dout=2cm/4cm=0.5in the example the IMA is 0.5
The output of the function would depend on the specific function itself. Without knowing the function, it is not possible to determine the output.