Solution is where the lines intersect. It's is (-2 , 1)
Answer is B.(-2,1)
Answer:
17 animals
Step-by-step explanation:
Rachel has a collection of 40 stuffed animals
3/8 are bears
= 3/8 ×40
= 120/8
= 15
1/5 are dogs
= 1/5×40
= 40/5
= 8
15+8
= 23
Therefore the number of animal she have left can be calculated as follows
= 40-23
= 17
Hence there are 17 animals left
Answer:
a. Average cost equation
![\bar c=0.02Q+0.65+250Q^{-1}](https://tex.z-dn.net/?f=%5Cbar%20c%3D0.02Q%2B0.65%2B250Q%5E%7B-1%7D)
b. Q = 112 units
c. Average cost (Q = 112 units) = GHS 5.12
d. Usually, the actual production capacity.
Step-by-step explanation:
We will use $ as the currency symbol for GHS.
a) We have:
- Variable costs: 0.65Q
- Fixed costs: 250
- Special costs: 0.02Q^2
Then we can write the total cost equation as:
![C(Q)=0.65Q+250+0.02Q^2](https://tex.z-dn.net/?f=C%28Q%29%3D0.65Q%2B250%2B0.02Q%5E2)
The average cost function can be calculated dividing the total cost equation by Q. Then, we have:
![\bar c=\dfrac{C(Q)}{Q}=\dfrac{0.02Q^2+0.65Q+250}{Q}=0.02Q+0.65+250Q^{-1}](https://tex.z-dn.net/?f=%5Cbar%20c%3D%5Cdfrac%7BC%28Q%29%7D%7BQ%7D%3D%5Cdfrac%7B0.02Q%5E2%2B0.65Q%2B250%7D%7BQ%7D%3D0.02Q%2B0.65%2B250Q%5E%7B-1%7D)
b) The output level that minimize the average cost can be calculated deriving the average cost equation and making it equal to zero:
![\dfrac{d\bar c}{dQ}=0.02+(-1)250Q^{-2}=0.02-250Q^{-2}=0\\\\\\\dfrac{250}{Q^2}=0.02\\\\\\Q^2=250/0.02=12,500\\\\Q=\sqrt{12,500}\approx 112](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%5Cbar%20c%7D%7BdQ%7D%3D0.02%2B%28-1%29250Q%5E%7B-2%7D%3D0.02-250Q%5E%7B-2%7D%3D0%5C%5C%5C%5C%5C%5C%5Cdfrac%7B250%7D%7BQ%5E2%7D%3D0.02%5C%5C%5C%5C%5C%5CQ%5E2%3D250%2F0.02%3D12%2C500%5C%5C%5C%5CQ%3D%5Csqrt%7B12%2C500%7D%5Capprox%20112)
The output level that minimizes cost is Q=112 units.
c. The average cost of production for the output level of 112 is:
![\bar c=0.02Q+0.65+250Q^{-1}\\\\\bar c(112)=0.02*112+0.65+250/112\\\\\bar c(112)=2.24+0.65+2.23\\\\\bar c(112)=5.12](https://tex.z-dn.net/?f=%5Cbar%20c%3D0.02Q%2B0.65%2B250Q%5E%7B-1%7D%5C%5C%5C%5C%5Cbar%20c%28112%29%3D0.02%2A112%2B0.65%2B250%2F112%5C%5C%5C%5C%5Cbar%20c%28112%29%3D2.24%2B0.65%2B2.23%5C%5C%5C%5C%5Cbar%20c%28112%29%3D5.12)
d. The limitation is not specified, by this models have a range of Q values where it is valid. These range is usually dependent on the scale of the production. The factory will have a maximum level of production, and over this level, the cost equation is different as other investments are needed.
Answer:
Step-by-step explanation:
I think you need to first find the surface area for the 3 composite shapes which is the cube and the two triangular pyramids.
Once you have the surface area for all the three, then just add all of them together.
Answer:
63 kilometers is larger because its after 40. 3 hours is larger than 2 hours because 3 is larger than 2.
Step-by-step explanation: