The relationship between profit and revenue is:
Profit = Revenue - Total Cost
Since the cost is given as a function, the equation will be substituted as
Profit = Revenue - (3,250 + 5x + 0.1x²)
Now, the revenue is a linear graph because it is the number of pairs multiplied the fixed rate. So, the slope is constant.
Revenue = 110x --> this is the function for revenue
Thus, the equation for profit would be
Profit = 110x - 3,250 - 5x - 0.1x²
P = -0.1x²+105x-3,250 --> this is the function for profit
Now, to find the minimum value of x to make profit, differentiate P with respect to x and equate to 0.
dP/dx = 0 = -0.2x + 105
x = 525
Thus, the Gymnast Clothing should manufacture at least 525 pairs in order to make profit.
Answer: Where is the question???
Step-by-step explanation:
Answer:
Closed and Bounded.
Step-by-step explanation:
Hi there!
1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:

Since every quadratic root are defined for values
0 then, this help us to understand that we need calculate what interval this Domain is:

![D=[-2,2]](https://tex.z-dn.net/?f=D%3D%5B-2%2C2%5D)
2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.
Bounded functions have all of their points contained by some circle origin centered. Check it out below.