Can someone please help me with this. I don't understand how to do this. There are 2 more problem similar to this but if someone helps me I can finish those as well.
Use the formula: F +Vn =Pn; where F is fixed cost, V is variable cost, P is selling price, and "n" is the number of units produced.

Assume a new product has a fixed cost of $900, a variable cost of $4.50 each, and a selling price of $5.50 each.
(a) What number of units must be produced to "break even?

Question

Can someone please help me with this. I don't understand how to do this. There are 2 more problem similar to this but if someone helps me I can finish those as well. 
Use the formula: F +Vn =Pn; where F is fixed cost, V is variable cost, P is selling price, and "n" is the number of units produced.

Assume a new product has a fixed cost of $900, a variable cost of $4.50 each, and a selling price of $5.50 each.
(a)  What number of units must be produced to "break even?

texaschic101 · Answer

F + Vn = Pn
F = 900
V = 4.50
P = 5.50
now we sub
900 + 4.5n = 5.5n -- subtract 5.5n from both sides
900 = 5.5n - 4.5n
900 = n

lets check...
900 + 4.5(900) = 5.5(900)
900 + 4050 = 4950
4950 = 4950 (correct)

To break even, 900 units must be produced

texaschic101 · Answer

oops..typo...I meant to put " subtract 4.5n from both sides "

anonymous · Answer

so 900-4.5=5.5n-4.5n

texaschic101 · Answer

no...
900 + 4.5n - 4.5n = 5.5n - 4.5n -- combine like terms
900 = 5.5n - 4.5n
900 = n

texaschic101 · Answer

do you understand ?

anonymous · Answer

I'm starting to see what you mean.

anonymous · Answer

So for for this problem I would replace 900 with 500 right? 
How many units must be sold to make a profit of $500?

texaschic101 · Answer

Once we subbed in our info, we got this..
900 + 4.5n = 5.5n -- we want to get the n's on one side, so I subtracted 4.5n from both sides, because what you do on one side of the equal sign, you have to do on the other side.
I subtracted 4.5n from both sides
900 + 4.5n - 4.5n = 5.5n - 4.5n -- combine like terms
900 = n

you understand now ?

anonymous · Answer

okay I see what you mean you had to make the 4.5 a negative to bring it over on both sides to cancel out.

texaschic101 · Answer

900 units to break even....

900 + 500 = 1400

900 + 4.5(1400) = 5.5(1400)
900 + 6300 = 7700
7200 = 7700 --- here, you would make a profit of $500 if you sold 1400 units

anonymous · Answer

so the n you substituted it for 1400 on both sides.

anonymous · Answer

How many units must be sold to average $0.25 profit per unit? $0.50 profit per unit? (hint: Profit per unit = P - V - F/n)

so I did:
5.50-4.50-900/900=0

anonymous · Answer

Thanks for your help. I really appreciate you helping me understand this.

texaschic101 · Answer

I am not sure about the profit per unit.....sorry, I can't really help with that

anonymous · Answer

That's okay. Thank you though.

texaschic101 · Answer

your welcome :)