The following information describes production activities of Mercer Manufacturing for the year Actual direct materials used 33,000 lbs. at $5.90 per lb
Actual direct labor used 10,700 hours for a total of $221,490
Actual units produced 63,000
Budgeted standards for each unit produced e 0.50 pounds of direct material at $5.85 per pound and 10 minutes of direct labor at $21.70 per hour
AQ = Actual Quantity
SQ Standard Quantity
AP Actual Price
SP = Standard Price
AH = Actual Hours
SH = Standard Hours AR Actual Rate
SR = Standard Rate
(1) Compute the direct materials price and quantity variances
(2) Compute the direct labor rate and efficiency variances. Indicate whether each variance is favorable or unfavorable

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

answer; /// the correct answer is (10) days; /// good luck