Answer:
25%
Step-by-step explanation:
If we consider the original price of the piece of suit is x.
Given that, on Monday during a one day sale, the price of the suit was decreased by 20%.
Therefore, the new price of the suit on Monday is 
.
Now, the price of the suit on Tuesday was changed back to the original price i.e. x.
Therefore, the price is increase by (x - 0.8x) = 0.2x from the price of 0.8x.
So, the percentage change in price of the suit on Tuesday is 
%. (Answer)
we know that
If 
is a factor of the function 
then
is a root of the function f(x)
therefore
For the value of the function must be zero
Verify
Substitute the value of in the function
therefore
<u>the answer is</u>
Yes, is a factor of the function f(x)
Answer:
The minimum cost is $9,105
Step-by-step explanation:
<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>
∵ C(x) = 0.5x² - 130x + 17,555
- Differentiate it with respect to x
∴ C'(x) = (0.5)(2)x - 130(1) + 0
∴ C'(x) = x - 130
Equate C' by 0 to find x
∵ x - 130 = 0
- Add 130 to both sides
∴ x = 130
∴ The minimum cost is at x = 130
Substitute the value of x in C(x) to find the minimum unit cost
∵ C(130) = 0.5(130)² - 130(130) + 17,555
∴ C(130) = 9,105
∵ C(130) is the minimum cost
∴ The minimum cost is $9,105
