Answer:
(a)Revenue function,
Marginal Revenue function, R'(x)=580-2x
(b)Fixed cost =900
.
Marginal Cost Function=300+50x
(c)Profit,
(d)x=4
Step-by-step explanation:
<u>Part A
</u>
Price Function
The revenue function

The marginal revenue function

<u>Part B
</u>
<u>(Fixed Cost)</u>
The total cost function of the company is given by 
We expand the expression

Therefore, the fixed cost is 900
.
<u>
Marginal Cost Function</u>
If 
Marginal Cost Function, 
<u>Part C
</u>
<u>Profit Function
</u>
Profit=Revenue -Total cost

<u>
Part D
</u>
To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

The number of cakes that maximizes profit is 4.
Answer:
lol nooooooooooooooooo
Step-by-step explanation:
Answer:
x=8/9
Step-by-step explanation:
5x+2(x-3)=-2(x-1)
1) Distribute 2 to x and -3:
5x+2x-6=-2(x-1)
2) Distribute -2 to x and -1:
5x+2x-6=-2x+2
3) Combine alike terms:
7x-6=-2x+2
4) Add 2x to both sides:
9x-6=2
5) Add 6 to both sides:
9x=8
6) Divide both sides by 9:
x=8/9
Answer:
Any coordinate point with (positive x, negative y)
Answer:
2(u+3v)
2 times u is 2u and then 2 times 3v is 6v.
2u+6v