Answer:
26.75 or 26.75156923
Step-by-step explanation:
Circumference formula:
C =Лd
Diameter formula:
d=c/Л
Substitute C for 84 and Л for 3.14:
d=84/3.14
Solve for Diameter:
d=26.75
The total amount they would get is 93.50$
Let <span>the production level that will yield a maximum profit for the manufacturer be x.
</span>The unit price of the disc is given by p = -0.0006x^2 + 65.
The revenue from selling x discs (R(x)) = px = -0.0006x^3 + 65x
Profit = Revenue - Cost = -0.0006x^3 + 65x - (-0.002x^2 + 13x + 4000) = -0.0006x^3 + 0.002x^2 + 52x - 4000
For maximum profit, dP/dx = 0
-0.0018x^2 + 0.004x + 52 = 0
Using quadratic formular, x = 171
Therefore, <span>the production level that will yield a maximum profit for the manufacturer is 171 discs.</span>
The lateral area is the area around, the bases are the circles so the lateral area is the area of the rectangle
we just need the legnth of the rectangle which is the circumfernece of the circle
C=pid
d=12
C=12pi
area=lw
aera=12pi*15
area=180pi yd^2
