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:
There are 32 kids in Mrs. Summers's class. The percentage is 5.30% of kids have one pet. 6 kids have one pet in Mrs. Summer's class.
I hope this helps :)
Step-by-step explanation: There are 32 students in the 7th grade/Number of pets
Step-by-step explanation:
Just count all of the x's
It would cost 26 dollars because 3 multiplied by 8 is 24 plus 2/3 of 3 is 26 and that is the result of 2/3 of 3 being 2 dollars
Answer: 11.67
Proportion:
12 = x
— —
6 5
Cross multiply.
70= 6x
Divide each side by 6
X= 11.67
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