Your Company has a standard costing system. The following data are available for June: * Actual quantity of direct materials purchased: 35,000 pounds * Standard price of direct materials: $4 per pound * Standard quantity per unit: 4.5 pounds * Material price variance: $7,000 favorable * Material quantity variance: $4,200 unfavorable What is the standard quantity of materials for the period?
36,050
33,950
33,250
35,000
Solution:
As given in question,
Actual Direct material = 35,000 pounds
Standard Price of Direct material = $4 per pound
Material quantity variance = $4,200 unfavorable i.e. -$4,200
As we know,
Direct material quantity variance = Standard Price * (Standard Qty - Actual Qty)
Therefore,
Standard Quantity = Actual Quantity + (Material Quantity variance / Standard Price)
Now, susbtituing figures into above formula,
Standard quantity = 35000 Pounds + ( -$4,200 / $4)
= 35,000 Pounds - 1,050 Pounds
= 33,950 Pounds
Therefore, correct option is $33,950.
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