A COMPANY OF CELLULAR PHONES CAN SELL 200 UNITS PER MONTH AT PHP 2000 EACH THEN THEY FOUND AT THAT THEY CAN SELL 50 MORE CELLPHONE UNITS EVERY MONTH FOR EACH PHP 100 DECREASE IN PRICE.

A. HOW MUCH IS THE SALES AMOUNT IF CELLPHONE UNITS ARE PRICED AT 2000 EACH?
B. HOW MUCH WOULD BE THEIR SALES IF THEY SELL EACH CELLPHONE UNIT AT PHP 1,600?
C. WRITE AN EQUATION FOR THE REVENUE FUNTION
D. WHAT PRICE PER SELLPHONE UNIT GIVES THEM THE MAXIMUM MONTHLY SALES?

1

Answers

2014-08-08T15:45:07+08:00
A. 400,000
B. 640,000
C.R(x)=-5,000x^{2} +80,000x+400,000
D. Php 1,200

**solutions
x=no. of times of decrease in the price of cellphone
R(x)=(200-100x)(200+50x)
R(x)=400,00+100,000x-20,000x-5,000x^{2}
R(x)=-5,000x^{2} +80,000x+400,000
R(x)=-5,000( x^{2} -16x+64)+400,000+320,000
R(x)=-5,000 (x-8)^{2}+720,000
Vertex(8,720,000)

** solution for D.
P=2,000-100x
   =2,000-100(8)
   =1200



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