Answer:
a) 
b) 
c) For this case we have the total sales $ 15 millions after t =4 months
d) 
e) This value represent the increase in the amount of sales in millions after t=4 months
Explanation:
For this case we have the following function for the sales

Part a
For this case we want to find the derivate of S respect to t and we got:

Part b
For this case we want to find the value of S when t = 4 so if we replace we got:

Part c
For this case we have the total sales $ 15 millions after t =4 months
Part d
For this case we just need to replace t=4 in the derivate and we got:

Part e
This value represent the increase in the amount of sales in millions after t=4 months
After you have completed the FAFSA and applied to colleges
C. Those who have the most deductions
Answer:
c) a firm does not have sufficient time to change the level of use some of its inputs.
Explanation:
The definition of short-run in economics is not a term to be used for a specific certain period of time but it means that the period of time is too short that the firms cannot change the level they are using of some of their inputs or costs. It means they do have fixed costs they cannot change. For example, all machinery installed, a yearly rent paid, electricity or others that the firm cannot change unless there is sufficient time. In a short period of time, it will have those costs anyway. The firm cannot change the level of that input. And it is short run of at least one input. It may be many. But it is not necessary to have all inputs unchanged to consider that period of time as short-run.
However, firms can change level of inputs if they have more time. That is cost the long run. All costs are variable costs when we are in long run.
Answer:
The correct answer is option B.
Explanation:
A monopolistic firm is characterized by a large number of buyers and sellers in the market producing differentiated products which are close substitutes, there are relatively easier entry and exit in the market.
In the given question, Teen Angle Hardware is looking for a niche or a slightly differentiated product to sell to teenagers. But is able to earn only a normal profit because there is a large number of firms in the market. And new firms can enter the market in the long run. So, this firm is an example of a monopolistic firm.