An artist makes three types of ceramic statues at a monthly cost of $650 for 180 statues. the manufacturing costs for the three types are $5,$4, and $3. if the statues sell for $20,$12, and $9,respectively, how many of each type should be made to produce $2,100 in monthly revenue?

we have three unknowns and so need three equations

for costs  

x+y+z=180

5x+4y+3z=650

for revenue

20x+12y+9z=2100

x+y+z=180

5x+4y+3z=650

x=30

y=50

z=100

41*67/2=1373.5

step-by-step explanation:

i just used a calculator

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)