SOLUTION: an electronics firm is planning to market a new graphing calculator. the fixed costs are $650,000 and the variable costs are $47 per calculator. the wholesale price of the calculat

Algebra ->  Inequalities -> SOLUTION: an electronics firm is planning to market a new graphing calculator. the fixed costs are $650,000 and the variable costs are $47 per calculator. the wholesale price of the calculat      Log On


   



Question 1041175: an electronics firm is planning to market a new graphing calculator. the fixed costs are $650,000 and the variable costs are $47 per calculator. the wholesale price of the calculator will be $63. For the company to make a profit, it is clear that revenues must be greater that costs.
1. how many calculators must be sold for the company to make a profit?
2. how many calculator must be sold for the company to break even?
3. Discuss the relationship between the result in part 1 and 2.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = cost of making +n+ calculators
Let +R+ = revenue from sales of +n+ calculators
Let +P+ = profit from sales of +n+ calculators
--------------------------------------------
+C+=+650000+%2B+47n+
+R+=+63n+
+P+=+R+-+C+
---------------------
(1)
To make a profit,
+R+%3E+C+
+63n+%3E+650000+%2B+47n+
+16n+%3E+650000+
+n+%3E+40625+
This means that to make a profit, at least 40626
calculators must be sold
-------------------------
(2)
If +R+=+C+ they break even
+63n+=+650000+%2B+47n+
+n+=+40625+
Sales of 40625 is the break even point
(3)
For (1) +P+%3E+0+
For (2) +P+=+0+