This assignment, you submit answer by questions. You are required to use a new r
ID: 3028786 • Letter: T
Question
This assignment, you submit answer by questions. You are required to use a new randomization after every 3 question The best submission for each question part is used for your score. The demand for a certain product is given by p = 29 - 0.01x, where x is the number of units sold per month and p is the price, in dollars, at which each item is sold. The monthly revenue is given by R = xp. What number of items sold produces a monthly revenue of $20,400? (Enter your answers as a comma-separated list.)Explanation / Answer
Given that
p = 29 - 0.01x , r = $20,400
R = xp
R = x ( 29 - 0.01x )
20400 = 29x - 0.01x2
0.01x2 - 29x + 20400 = 0
Multiply the equation with 100 on both sides
0.01(100)x2 - 29(100)x + 20400(100) = 0(100)
x2 - 2900x + 2040000 = 0
( x - 1700 ) ( x - 1200 ) = 0
x - 1700 = 0 , x - 1200 = 0
x = 1700 , x = 1200
Therefore,
x = 1700 , 1200