Direct labor variance is the effect of the differences between the wage rate or the number of hours worked in actual and the projected or expected. Shown below are the procedures to which the inputs to the equations were calculated.
Standard Rate = (2 direct labor hour) x ($15/hour) x (1800) = 54,000
Actual Direct Labor cost = $48,000
The variance is calculated by subtracting the actual cost from the standard rate.
Variance = ($54,000) - ($48,000)
Variance = $6,000
Therefore, the variance to the given data is $6,000.