15-2x
A number is a variable so use a letter like x for them
Answer=46.6
I hope this helps.
slope is -2 and the y-int. is 0.5
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,
Answer:
8
Step-by-step explanation: