SOLUTION: Please help solve this and provide workings, thanks. Commodore Systems sells its accounting software at $500 for each unit. The company’s manufacturing cost for one unit of softwa

Algebra ->  Finance -> SOLUTION: Please help solve this and provide workings, thanks. Commodore Systems sells its accounting software at $500 for each unit. The company’s manufacturing cost for one unit of softwa      Log On


   



Question 1021655: Please help solve this and provide workings, thanks.
Commodore Systems sells its accounting software at $500 for each unit. The company’s manufacturing cost for one unit of software is $20. The fixed cost per month for the company is $19,200.
1) Define the break even level
2) Find the break even quantity

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of software units
Their total income from sales is:
+500n+
---------------
[ profit ] = [ income from sales ] - [ total cost ]
Their total cost is:
+20n+%2B+19200+
-----------------
The break even level is where the profit is zero,
so: [ income from sales ] = [ total cost ]
+500n+=+20n+%2B+19200+
+480n+=+19200+
+n+=+40+
and
+500n+=+20000+
The break even level is $20,000
The break even quantity is 40
--------------------------
check:
+20n+%2B+19200+=+20%2A40+%2B+19200+
+20n+%2B+19200+=+20000+
OK
Here is the plot of profit on vertical axis
and number of units on horizontal axis
+graph%28+400%2C400%2C+-20%2C+100%2C+-1000%2C+10000%2C+480x+-+19200+%29+