Standard quantity 7.0 liters per unit Standard price $ 1.50 per liter Standard cost $ 10.50 per unit The company budgeted for production of 2,800 units in April, but actual production was 2,900 units. The company used 21,200 liters of direct material to produce this output. The company purchased 19,100 liters of the direct material at $1.60 per liter. The direct materials purchases variance is computed when the materials are purchased. The materials quantity variance for April is

$1,350U

Explanation:

Calculation to determine what The materials quantity variance for April is

Using this formula

Materials quantity variance=(AQ-SQ)*SP

Let plug in the formula

Materials quantity variance=[21,200 liters-(2,900 units*7.0 liters )*$ 1.50

Materials quantity variance{(21,200-20,300)*$1.50

Materials quantity variance=900*$1.50

Materials quantity variance=$1,350 U

Therefore the Materials quantity variance is $1,350 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.

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