Answer:
The value of r to have maximum profit is 3/25 ft
Step-by-step explanation:
To find:
The size of the sphere so that the profit can be maximized.
Manufacturing cost of the solid sphere = $500/ ft^3
Selling price of sphere (on surface area) = $30 / ft^2
We see that the manufacturing cost dealt with he volume of the sphere where as the selling price dealt with the surface area.
So,
To maximize the profit (P) .
We can say that:
⇒
⇒
⇒
⇒
Differentiate "" and find the "" value then double differentiate "", plug the "" values from to find the minimum and maximum values.
⇒
⇒
Finding r values :
⇒
Dividing both sides with 240π .
⇒ ⇒
⇒ and
To find maxima value the double differentiation is :
⇒ ...first derivative
Double differentiating :
⇒ ...second derivative
⇒
Test the value r = 3/25 dividing both sides with 240π
⇒
⇒
⇒
It passed the double differentiation test.
Extra work :
Thus:
⇒
⇒
⇒
Finally r =3/25 ft that will maximize the profit of the manufacturing company.
Answer:
= 5 (-2y+3) / -y+3
Step-by-step explanation:
If you need more help, you can look at this website called "symbolab".
Answer:
27
18 is 40% have 18 is 9 9 is 20% 18 + 9 equals 27 and you already have 40 18 + 18 is 80% all you need is 20 more percent which is 9
Answer:
2.07
Step-by-step explanation:
1.2x1.2=1.44
1.44x1.2=1.728
1.728x1.2=2.07
Maybe
In a linear equation, the independent variable increases at a constant rate while the dependent variable decreases at a constant rate.