Answer:
(a) P(x) = 300 x - 3600
(b) P(340) = $ 98400
(c) At least 12 items must be sold to avoid losing money.
Step-by-step explanation:
Part (a):
The Profit function is the difference between the revenue function (R(x)) and the Cost (C(x)) function:
P(x) = R(x) - C(x)
P(x) = 384 x - [84 x + 3600]
P(x) = 384 x - 84 x - 3600
P(x) = 300 x - 3600
Part (b):
The profit on 340 items is:
P(340) = 300 (340) - 3600
P(340) = 102000 - 3600
P(340) = $ 98400
Part (c):
To avoid losing money, the profit P(x) has to be larger or equal than zero. That is:
P(x) 
0
300 x -3600 0
300 x 3600
x 3600/300
x 12
So at least 12 items must be sold to avoid losing money.
15/9 = 1.6666... (where 6 repeats infinitely)
If we're rounding to 2 decimal places, 6 will round up to 7
Therefore, B. 1.67 is your answer
A) -8.93 > -8.4 is false. There is no solution.
B) -0.7 > -6.12 is true. There are infinite solutions.
C) 7.1 > 7.24 is false. There is no solution.
D) -3.2 > -3.6 is true. There are infinite solutions.
Given situation:
Mr. jones received 70% of the 1500 vote casts in an election
Question and solution
=> How many votes did Mr Jones received:
=> 1 500 is the total number of voters and 70% of it voted Mr. Jones.
SO let’s start solving to get the number of voters who voted him.
=> 70% = 70 / 100 = .70
=> 1 500 * .70
=> 1 050 , the number of voters who voted him in an election.
