This question wants you to reverse the operations that occurred.
Start with 12 stamps.
Divide this number by 3/4. This represents Carla giving 1/4 of the stamps to Thomas.

Multiply this number by 2. This represents Jim giving half of the stamps to Carla.

Multiply this number by 2. This represents John giving half of his stamps to Jim.

John started out with
64 stamps.
Answer:
The company has to produce more than 92 guitars and sell them for making a profit.
Step-by-step explanation:
These are the cost and revenue functions, where x represents the number of guitars to be manufactured and sold: R(x) = 120x, and C(x) = 100x + 1840.
Therefore, the condition for no loss-no gain for manufacturing x number of guitars is
R(x) = C(x)
⇒ 120x = 100x + 1840
⇒ 20x = 1840
⇒ x = 92
Therefore, the company has to produce more than 92 guitars and sell them for making a profit. (Answer)
To evaluate

First, we input 0, for theta in the function to obtain:

This is an indeterminate form.
So, we apply L'Hopital's rule by differentiating the numerator and the denominator as follows: