The direct materials quantity variance is 59,400 favourable.
b. $59,400 unfavourable
Explanation:
Material Quantity variance= standard price( Actual Quantity used - standard quantity)
The standard quantity is [tex]23,500 \times 5.7 =133,950[/tex]
[tex](Actual \ production \times Standard \ unit)[/tex]
[tex]( 23,500 \times 5.7)[/tex] standard price( Actual Quantity used - standard quantity)
[tex]12(129,000-133,950)= 59,400 F[/tex]
Therefore, Lucy corporation's material quantity variance after using actual quantity of 129,000 at a standard price of 12 and the standard quantity of 133,950 is 59,400 favorable.