SOLUTION: 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

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Question 281111: 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?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

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