Answer:
1 unit
Step-by-step explanation:
They are right next to each other.
Answer:
The answer to this question can be defined as follows:
i) ![\bold{p(x)= -5x^2+ 217x- 1,401} \\](https://tex.z-dn.net/?f=%5Cbold%7Bp%28x%29%3D%20-5x%5E2%2B%20217x-%201%2C401%7D%20%5C%5C)
ii) x=22 units
iii) Maximum profit: 953.45
Step-by-step explanation:
Given value:
p(x) = 211 − 5x \\
C(x) = 1,401 + 16x
The formula for calculating the profit function value:
![\to \bold{P(x)= xp(x) - C(x)}](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7BP%28x%29%3D%20xp%28x%29%20-%20C%28x%29%7D)
![= x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\](https://tex.z-dn.net/?f=%3D%20x%28211-5x%29-%201%2C401%20%2B%2016x%5C%5C%5C%5C%3D%20211x%20-5x%5E2-1%2C401%2B16x%5C%5C%5C%5C%3D%20-5x%5E2%2B%20217x-%201%2C401%20%5C%5C)
The formula for calculating the value for maximum profit:
![p'(x) = - 10x + 217 =0](https://tex.z-dn.net/?f=p%27%28x%29%20%20%3D%20%20-%2010x%20%2B%20217%20%3D0)
![217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7](https://tex.z-dn.net/?f=217%3D%2010x%5C%5C%5C%5Cx%3D%20%5Cfrac%7B217%7D%7B10%7D%5C%5C%5C%5Cx%3D%2021.7)
So, the production level is 22 units
Maximum profit:
![\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\](https://tex.z-dn.net/?f=%5Cto%20p%2821.7%29%3D%20-%205%20%2821.7%29%5E2%2B217%20%2821.7%29%20-1%2C401%5C%5C%5C%5C)
![=-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45](https://tex.z-dn.net/?f=%3D-5%20%28470.89%29%20%2B217%20%2821.7%29%20-1%2C401%5C%5C%5C%5C%3D-2354.45%2B%204708.9-1%2C401%5C%5C%5C%5C%3D%20953.45)
Answer:
No.
Step-by-step explanation:
Waves are energy moving through the matter, but they leave the matter in the same place as they pass through.
Highest common factor of 63 and 45 is 9.
Therefore there can be 9 bouquets each with 5 roses and 7 carnations