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.
Step-by-step explanation:
green = 3/20
black = 4/20 = 1/5
Answer:
(x-4)(x-3)
Step-by-step explanation:

multiply 1 and 12= 12
find two numbers that multiply to get twelve AND add together to get -7(the middle number)
the two numbers are -3 and -4 (they add up to get -7 AND multiply together to get 12)
plug in these numbers for -7x

x(x-3)-4(x-3)
the bolded is the first binomial and the second binomial is in the parenthesis.
(x-4)(x-3)
I hope this helps!
20,000,000+400,000+80,000+4000+100+60+3
110 that's the answer I think