Answer 1)
Calculation of standard quantity of kilograms of plastic allowed for actual output of 3,500 helmets
Standard quantity of plastics allowed for actual output = Standard quantity of plastic allowed per unit of helmet X number of helmets manufactured
= 0.64 kilograms per helmet X 3,500 helmets
= 2,240 kilograms
Therefore standard quantity of plastic allowed for actual output of 3,500 helmets is 2,240 kilograms.
Answer 2)
Calculation of standard material cost allowed for actual output of 3,500 helmets
Standard material cost allowed for actual output = Standard quantity of plastic allowed for actual output X Standard Cost per kilogram of plastic
= 2,240 kilograms X $ 7.00 per kilogram
= $ 15,680
Therefore standard material cost allowed for actual output of 3,500 helmets is $ 15,680.
Answer 3)
Calculation of Material spending variance
Material spending variance = Standard cost of material allowed for Actual output – Actual cost of material incurred
= $ 15,680 - $ 16,632
= $ 952 (Unfavorable)
Therefore material spending variance is $ 952 (Unfavorable).
Answer 4)
Calculation of material price variance
Material price variance = (Standard price per kilogram of material – Actual price per kilogram of material) X Actual quantity of material consumed
= ($ 7.00 per kilogram - $ 6.60 per kilogram) X 2,520 kilograms
= $ 1,008 (Favorable)
Therefore material price variance is $ 1,008 (Favorable)
Calculation of material quantity variance
Material quantity variance = (Standard quantity of material allowed for actual output – Actual quantity of material consumed) X Standard price per kilogram of material
= (2,240 kilograms – 2,520 kilograms) X $ 7.00 per kilogram
= $ 1,960 (Unfavorable)
Therefore material quantity variance is $ 1,960 (Unfavorable).
Working Note:
Calculation of Actual price per kilogram of plastic
Actual price per kilogram of plastic = Actual cost of material consumed/ Actual quantity of material consumed
= $ 16,632/ 2,520 kilograms
= $ 6.60 per kilogram
Therefore actual per per kilogram of plastic is $ 6.60.
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