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:
I am not sure if this is right but the answer is
The area of a circle with circumference 18π is 254.5
Answer:
1/12
Step-by-step explanation:
When you are doing probability with multiple things at once you have to multiply the probabilities of each asked number from each object together to get the probability of them both landing on those numbers
Each of them need to work 105 minutes more in order to have packed the same number of boxes.
<u><em>Explanation</em></u>
Suppose, they need to work for
minutes more in order to have packed the same number of boxes.
Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.
So, the number of boxes packed by Selma in that
minutes
and the number of boxes packed by Trudy in
minutes 
Given that, Selma and Trudy have already packed 12 and 18 boxes.
Now if <u>each of them packed the same number of boxes</u>, then the equation will be......

So, each of them need to work 105 minutes more in order to have packed the same number of boxes.
We can use the points (-6, 2) and (-4, 13) to solve.
Slope formula: y2-y1/x2-x1
= 13-2/-4-(-6)
= 11/2
______
Best Regards,
Wolfyy :)