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In: Accounting

Vitex, Inc. manufactures a popular consumer product and it has provided the following data excerpts from...

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

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