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:
see below
Step-by-step explanation:
shape LNMP is :
- flip of mirrored along y-axis
- reflected imaged is ABCD as given
Answer:
what she sells each t-shirt for.
Step-by-step explanation:
if f(x) is the profit and x=# of t-shirts,
the rate of change is 8, which is what she sells each t-shirt for.
The 100 that is subtracted, is the money that she spent on materials.
For eg, if she sells 8 t-shirts she makes $64, but she spent $100 before and didn't gain any profit, having not made up $36 from what her original spending was.
The answer is 729. Hope this helps
675840 feet to go to 128 mile
