Given:
Fixed cost = b = $ 42,500
Production cost (Variable cost) /unit = m = $ 6/ unit
Let 'x' represent the number of unit, therefore the variable cost will be
![6x](https://tex.z-dn.net/?f=6x)
a) The cost function will be the sum of the fixed cost and the variable cost.
![C(x)=6x+42500](https://tex.z-dn.net/?f=C%28x%29%3D6x%2B42500)
b) The revenue function is the amount the product is sold per unit.
Recall: 'x' represents the number of units.
Therefore,
![11\times x=11x](https://tex.z-dn.net/?f=11%5Ctimes%20x%3D11x)
Hence, the revenue function R(x) is
![R(x)=11x](https://tex.z-dn.net/?f=R%28x%29%3D11x)
c) The profit function is the difference between the revenue function and the cost function.
![P\mleft(x\mright)=11x-\mleft(425000+6x\mright)=5x-42500](https://tex.z-dn.net/?f=P%5Cmleft%28x%5Cmright%29%3D11x-%5Cmleft%28425000%2B6x%5Cmright%29%3D5x-42500)
Hence, the profit function is
![P\mleft(x\mright)=5x-42500](https://tex.z-dn.net/?f=P%5Cmleft%28x%5Cmright%29%3D5x-42500)
d) Let us compute the profit (loss) values when the units are 6000 and 11000
Using the profit function
![P(x)=5x-42500](https://tex.z-dn.net/?f=P%28x%29%3D5x-42500)
Therefore,
![\begin{gathered} P(6000)=5(6000)-42500=30000-42500=-\text{ \$12500} \\ P(11000)=5(11000)-42500=55000-42500=\text{ \$12500} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%286000%29%3D5%286000%29-42500%3D30000-42500%3D-%5Ctext%7B%20%5C%2412500%7D%20%5C%5C%20P%2811000%29%3D5%2811000%29-42500%3D55000-42500%3D%5Ctext%7B%20%5C%2412500%7D%20%5Cend%7Bgathered%7D)
Hence,
It’s c I think sorry if I’m wrong, I did this lesson long time ago
Answer:
7. 1/3
8. 1/6
9. 13/24
10. 5/8
11. 17/24
12. 0
Step-by-step explanation:
First find the total number balls by summing the indiviudal number of balls:
Total = 5 + 8 + 7 + 4 = 24
Then, the find any probability divide the number of ways your selected situation can happen from the total:
![probability = \frac{number.of.possible.ways}{total.number.of.ways}](https://tex.z-dn.net/?f=probability%20%3D%20%5Cfrac%7Bnumber.of.possible.ways%7D%7Btotal.number.of.ways%7D)
A final step if you want is to reduce the fraction to its simplest value. For example,
![\frac{2}{4} =\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B4%7D%20%3D%5Cfrac%7B1%7D%7B2%7D)
7) 8/24 = 1/3
8) 4/24 = 1/6
9) (8+5)/24 = 13/24
10) (24 - 5 -4)/24 = 15/24 = 5/8
11) (24 - 7)/24 = 17/24
12) (0)/24 = 0
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It equals 5,800. Good Luck In School!
Answer:
A.) about 500 miles
Step-by-step explanation:
217+483=700
1214-700=514