The increases to Work in Process—Roasting Department for Highlands Coffee Company for May as well as information concerning production are as follows:
Work in process, May 1, 1,150 pounds, 40% completed
$1,700
Coffee beans added during May, 10,900 pounds
28,600
Conversion costs during May
12,504
Work in process, May 31, 800 pounds, 80% completed
Goods finished during May, 11,250 pounds

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft