SOLUTION: Jones Stereo company sells stereo sets for $150 each. The parts for each stereo cost $39.50 and the labor costs $53 per set. Fixed costs are $16,000 a month. A. Find Jones' cost a

Algebra ->  Systems-of-equations -> SOLUTION: Jones Stereo company sells stereo sets for $150 each. The parts for each stereo cost $39.50 and the labor costs $53 per set. Fixed costs are $16,000 a month. A. Find Jones' cost a      Log On


   



Question 1165920: Jones Stereo company sells stereo sets for $150 each. The parts for each stereo cost $39.50 and the labor costs $53 per set. Fixed costs are $16,000 a month.
A. Find Jones' cost and revenue functions.
B. How many must Jones produce and sell every month in order to (I) break even? (II) make a $6,000 profit?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
To break even x stereos at $150 each or 150x=16000+39.50x+53x. Revenue on left, cost on right.
Therefore, 57.50x=16000
x=278.26 or 279 stereos to break even
$6000 profit means the right side (cost function) becomes $22000
so 57.50x=22000
x=382.61 or 383 stereos.