Determine Whether Each of the Following "Theorems" Is True or False

question 121

True/False

determine whether each of the following "theorems" is true or false. Assume that a, b, c,
d, and m are integers with m > 1.
- $$\text { If } a \equiv b ( \bmod m ) \text {, then } 2 a \equiv 2 b ( \bmod m )$$

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Definitions:

ATC Curves

Short for Average Total Cost curves, these represent the average total cost of production at different levels of output, depicting how costs per unit change as the scale of production increases or decreases.

Constant-Cost Industry

An industry where the input costs remain the same regardless of the industry's output level.

Long-Run Supply Curve

A graphical representation showing how the quantity of goods supplied by firms changes over time as all factors of production can be varied.

Decreasing-Cost Industry

An industry in which the costs of production decrease as the industry expands, often due to efficiencies gained from economies of scale.