Your factory produces lemon-scented widgets. you know that each unit is cheaper, the more you produce. but you also know that costs will eventually go up if you make too many widgets, due to the costs of storage of the overstock. the guy in accounting says that your cost for producing x thousands of units a day can be approximated by the formula
c = 0.04x^2 – 8.504x + 25302.

find the daily production level that will minimize your costs.

try using m athway . c o m for math help

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

step-by-step explanation:

answers available in this download

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