A(42) = 3(42) - 8
The 42nd term is 118.
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.
What’s c? Not valid question
"He starts both trains at the same time. Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds". Basically, what you need to do is find the least common multiple. The least common multiple of 12 and 9 is 36, so the least amount of time, in seconds, that both trains will arrive at the starting points at the same time is 36 seconds.
The purpose of using slang is mostly for social purposes such as:
- It is use as a kind of identity identify for any members of a group.
- It is often used to oppose an already set up authority.
<h3>What is the use of slangs about?</h3>
Slangs is often used in the Sharing and keeping of a constantly altering vocabulary aids.
It is used to show group solidarity and it is often used to include or exclude members.
The common sports slangs are:
- “Game of inches”
- “Lost a step”
- “The ball is in their court”
Learn more about Slangs from
brainly.com/question/476021
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