SOLUTION: jim's burgers sell for $1.80 each. unit cost is $.95 weekly fixed cost is $475.00 for restaurant how many burgers must be sold per week for a profit to be made?

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Question 1084428: jim's burgers sell for $1.80 each.
unit cost is $.95
weekly fixed cost is $475.00 for restaurant
how many burgers must be sold per week for a profit to be made?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Profit = Revenue - Cost
Let +n+ = number of burgers sold in one week
For a one week period:
+P+=+R+-+C+
+R+=+1.8n+
+C+=+.95n+%2B+475+
+P+=+1.8n+-+%28+.95n+%2B+475+%29+
+P+=+1.8n+-+.95n+-+475+
+P+=+1.75n+-+475+
The "break even point" ( zero profit ) is when:
+P+=+0+
+1.75n+-+475+=+0+
+1.75n+=+475+
+n+=+271.43+
That means 272 burgers must be sold before
there is a profit
--------------------
check:
+P+=+1.75n+-+475+
+n+=+272+
+P+=+1.75%2A272+-+475+
+P+=+476+-+475+
+P+=+1+
Looks OK