In: Accounting
Vitex, Inc. manufactures a popular consumer product and it has provided the following data excerpts from its standard cost system:
Inputs | (1) Standard Quantity or Hours | (2) Standard Price or Rate |
Standard Cost (1) × (2) |
||||
Direct materials | 2.40 | pounds | $ | 16.10 | per pound | $ | 38.64 |
Direct labor | 1.00 | hours | $ | 15.70 | per hour | $ | 15.70 |
Variable manufacturing overhead | 1.00 | hours | $ | 9.50 | per hour | $ | 9.50 |
Total standard cost per unit | $ | 63.84 | |||||
Total | Variances Reported | |||||||
Standard Cost* |
Price or Rate |
Quantity or Efficiency |
||||||
Direct materials | $ | 734,160 | $ | 13,804 | F | $ | 32,200 | U |
Direct labor | $ | 298,300 | $ | 4,000 | U | $ | 15,700 | U |
Variable manufacturing overhead | $ | 180,500 | $ | 4,500 | F | $ | ?† | U |
*Applied to Work in Process during the period.
The company's manufacturing overhead cost is applied to production on the basis of direct labor-hours. All of the materials purchased during the period were used in production. Work in process inventories are insignificant and can be ignored.
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Though requirement in question not mentioned, calculated few things based on experience
Part-1 | No of Units Produced | ||||
Standard Material Cost | 734160 | ||||
Standard Material Cost per unit | 38.64 | ||||
No of Units Produced (734160/38.64) | 19000 | ||||
Part-2 | Let actual requirement for unit is x | ||||
Direct Material Quantity Variance | (SQ-AQ)*SR | ||||
-32200 | ((19000*2.4)-(19000*x))*16.1 | ||||
-32200 | (45600-19000x)*16.1 | ||||
=-32200/16.1 | (45600-19000x) | ||||
-2000 | (45600-19000x) | ||||
19000x | 45600+2000 | ||||
19000x | 47600 | ||||
x | 2.51 | ||||
Direct Material Purchased and used | 19000*x | 47,600 | 2,000 | 32,200.00 | |
Part-3 | Standard Quantity | 19000*2.4 | 45600 | ||
Direct Material Price Variance | (SR-AR)*SQ | ||||
13804 | (16.1-AR)*45600 | ||||
13804 | 734160-45600AR | ||||
45600AR | 734160-13804 | ||||
45600AR | 720356 | ||||
AR | 15.80 | ||||
Actual Cost per Pound | 15.80 | ||||
Part-4 | |||||
Direct Labor Efficiency Variance | (SH-AH)*SR | ||||
-15700 | ((19000*1)-(19000*x))*15.7 | ||||
-15700 | (19000-19000x)*15.7 | ||||
=-15700/15.7 | (19000-19000x) | ||||
-1000 | (19000-19000x) | ||||
19000x | 19000+1000 | ||||
19000x | 20000 | ||||
x | 1.05 | ||||
Actual Direct Labor Hours | 19000*x | ||||
Part-5 | Standard Quantity | 19000*1 | 19000 | ||
Direct Material Price Variance | (SR-AR)*SQ | ||||
-4000 | (15.7-AR)*19000 | ||||
-4000 | 298300-19000AR | ||||
19000AR | 298300+4000 | ||||
19000AR | 302300 | ||||
AR | 15.91 | ||||
Actual Cost per Pound | 15.91 | ||||