Roman Mfg.'s July production involved actual direct labor costs of $41,514 for 3,400 direct labor hours. The budget for the July level of production called for 3,500 direct labor hours at $12.20 per hour, using a standard cost system. 1. Roman's labor rate variance for July is

2. Roman's labor efficiency variance for July is

Instructions are below.

Explanation:

Giving the following information:

Roman Mfg.'s July production involved actual direct labor costs of $41,514 for 3,400 direct labor hours. The budget for the July level of production called for 3,500 direct labor hours at $12.20 per hour.

To calculate the direct labor efficiency and rate variance, we need to use the following formulas:

Direct labor time (efficiency) variance= (Standard Quantity - Actual Quantity)*standard rate

Direct labor time (efficiency) variance= (3,500 - 3,400)*12.2

Direct labor time (efficiency) variance= $1,220 favorable

Direct labor rate variance= (Standard Rate - Actual Rate)*Actual Quantity

Actual rate= 41,514/3,400= $12.21

Direct labor rate variance= (12.20 - 12.21)*3,400

Direct labor rate variance= $34 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 law of increasing costs;