Una empresa fabrica protectores faciales, según los estudios de mercado que se han hecho, se ha de vender a S/.9 la unidad. La empresa tiene unos gastos fijos mensuales de local y personal de S/.9000, y además, fabricar cada unidad protector facial cuesta S/. 3. ¿Cuántas unidades ha de vender mensualmente si no quiere tener pérdidas?

The number of units sell is 2.

Step-by-step explanation:

selling cost of one unit = $ 0.9

Monthly expense = $ 0.9

Manufacturing cost = $ 0.3

Let the number of unit sell is x.

So,

0.9 x = 0.9 + 0.3 x

0.6 x = 0.9

x = 1.5

So, the number of units sell to get no loss is 2.

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.