Crane Company uses the gross profit method to estimate inventory for monthly reporting purposes. Presented below is information for the month of May. Inventory, May 1 $ 162,000
Purchases (gross) 637,500
Freight-in 28,600
Sales revenue 1,031,100
Sales returns 69,600
Purchase discounts 11,500
(a) Compute the estimated inventory at May 31, assuming that the gross profit is 30% of sales.
(b) Compute the estimated inventory at May 31, assuming that the gross profit is 30% of cost.

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Explanation:

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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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