MC Qu. 97 K Company estimates that overhead costs for... K Company estimates that overhead costs for the next year will be $2,890,000 for indirect labor and $850,000 for factory utilities. The company uses direct labor hours as its overhead allocation base. Of 85,000 direct labor hours are planned for this next year, how much overhead would be assigned to a product requiring 5 direct labor hours

Allocated MOH= $220

Explanation:

To calculate the predetermined manufacturing overhead rate we need to use the following formula:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate=  (2,890,000 + 850,000) / 85,000

Predetermined manufacturing overhead rate= $44 per direct labor hour

Now, we can allocate overhead:

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Allocated MOH= 44*5

Allocated MOH= $220

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.