The lowest level of output at which the long-run average total cost is minimized is called minimum scale

Yes, you are correct. The minimum efficient scale (MES) is the point on a cost curve where a company can produce its product at the lowest possible cost per unit. This occurs where the firm's long-run average total cost (LRATC) is at its minimum. At this point, the firm is achieving economies of scale and operating at maximum efficiency.

Here are the steps to identify the minimum efficient scale:

1. Identify the long-run average total cost curve (LRATC) for the firm. This curve shows the average cost per unit of output over the long run, where all inputs are variable.

2. Find the point on the LRATC curve where the cost per unit is at its lowest. This is the minimum point on the curve.

3. The level of output at this point is the firm's minimum efficient scale. This is the lowest level of output at which the firm can minimize its long-run average total cost.

4. Any output level below or above the MES will result in a higher average cost per unit. Below the MES, the firm experiences diseconomies of scale, and above the MES, the firm experiences economies of scale.

5. Therefore, the firm should aim to produce at the MES to achieve the lowest possible cost per unit and maximize efficiency.