In: Accounting
Relevant information from data provided in question are....
Standards :
Material required per unit : 2 pound
MAterial cost per pound : 12
Hence Material cost per unit = 2 x 12 =$ 240
Actual :
Actual unit produced : 300
Actual material used : 7500 pound
Actual material cost : $98,400
Hence,....
Standard material for actual unit production is = 300 units x 2 pounds per unit = 600 pounds
Standard material cost = 600 pound x 12 per pound = $ 7200
Direct material cost variance = Actual material cost - standard material cost
Direct material cost variance = $ 98400 - $7200 = $ 91200 Unfavorable
Alternatively it can be also calculated as...
Direct material cost variance = Direct material unit Variance + Direct material price variance
Direct material cost variance = 82800 unfavorable + 8400 unfavorable =$ 91200 Unfavorable
Where,....
Direct material unit Variance = standard price per pound ( actual pound used - standard pound)
Direct material unit Variance = 12 (7500-600) = 12 x 6900 = 82800 unfavorable
Direct material price variance = actual pound used (standard price per pound - actual price per pound)
Direct material price variance = 7500 (12- (98400/ 7500)
Direct material price variabne = 7500 (12- 13.12) = 7500 x 1.12 = 8400 unfavorable