Atoy manufacturer uses approximately 32,000 silicon chips annually. the chips are used at a steady rate during the 240 days a year that the plant operates. annual holding cost is $3 per chip and ordering cost is $120. determine by hand:

a) the optimal order quantity

b) the number of orders to be placed in a year

c) how often orders need to be placed?

d) compute the total annual cost using your order size from question a.

a) 1,600

b) 20

C) every 18.25 days

d) 4,800 dollars

Explanation:

Where:

D = annual demand =32,000 units

S= setup cost = ordering cost =$120

H= Holding Cost =$3.00

EOQ = 1600

orders per year:

32,000 / 1,600 = 20 order per year

days between orders:

365 days per year / 20 order per year = 18.25 days

inventory cost:

average inventory: 1,600 / 2 = 800 units of inventory

800 x $3 holding cost + 20 orders at $120 each

2,400 + 2,400 = 4,800

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.