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 - (<span>3,250 + 5x + 0.1x</span>²)
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.
Hey there!!
Let's take the length of the bigger piece as x inches
Then, the length of the smaller piece would be x - 8 inches
The sum of these lengths would be 54 inches
... x + x - 8 = 54
... 2x - 8 = 54
... Add 8 on both sides
... 2x = 62
... Divide 2 on both sides
... x = 31
Hence, the length of the bigger piece = 31 inches
The length of the smaller piece would be = 31 - 8 = 23 inches
Hope my answer helps!!
X=15
you do 2(5x-5)=(6x+50) and simplify, then you get x=15.
y=7
Once again, you do (5y+5)=(7y-9) and simplify. you get y=7.
please leave a thanks and mark brainliest if you can
Answer: (F)
Step-by-step explanation:
well it would be 8b - 20 because you have to multuply by 4 on 5 too not just 2b