Cost standards for one unit of product no. c77:
direct material 3 pounds at $2.80 per pound $8.40
direct labor 6 hours at $7.40 per hour 44.40
actual results:
units produced 6,600 units
direct material purchased 26,200 pounds at $3.00 $78,600
direct material used 19,500 pounds at $3.00 58,500
direct labor 40,700 hours at $7.20 293,040
assume that the company computes variances at the earliest point in time. the direct-material quantity variance is:

$840f.

$840u.

$17,920u.

$17,920f.

none of these.

$840

Explanation:

Data provided in the question:

Direct material  at $2.80 per pound = 3 pounds

Standard cost of direct material = $8.40

Direct labor at $7.40 per hour = 6 hours

Standard direct labour cost = $44.40

Actual Units produced 6,600 units

Actual Direct material purchased 26,200 pounds at $3.00 = $78,600

Actual Direct material used 19,500 pounds at $3.00 = 58,500

Actual Direct labor 40,700 hours at $7.20 = 293,040

Now,

Direct material quantity variance

= (Actual quantity used - Standard quantity used) × Standard price  

=  [19,500 - (6,600 × 3)] × $2.8

= (19,500 - 19,800) × $2.8

= $2.8 × 300        [ignoring negative sign]

= $840 (Favorable  as actual quantity used is less than the standard quantity)

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