AsadAbu wrote:
The cost of manufacturing "X" cellphones is given below.
C=2500+100x, and the revenue from selling these is given by R=150x. What is the least number of cellphones that must be produced and sold to realize some profit?
A) 51
B) 50
C) 49
D) 48
E) 41
Total Cost; \(C = 2500 + 100x\)
Total Revenue; \(R = 150x\)
To get Profit, Revenue must be greater than Cost.
Therefore; \(Revenue > Cost\)
\(150x > 2500 + 110x\)
\(150x - 110x > 2500\)
\(50x > 2500\)
\(x > \frac{2500}{50}\)
\(x > 50\)
Hence \(x\) has to be greater than \(50\) to get profit. Least number of cell phone to be produced to get least profit \(= 51\).
Answer A