Question

ABc bookstore sells magazines according to the demand function p= -Q + 42, where p is the price and q is the quantity. if the bookstore charges $5 for a magazine, how many magazines can the store expect to sell?

Answer 1

37 magazines.

Explanation:

The function for the price is : p= -Q + 42,

where p is the price and q is the quantity

If we make Q the subject of the formula we have:

p= -Q + 42,

-Q = p - 42

Q = -p + 42

Substituting p we have:

Q = -p + 42

= -5 + 42

= 37

The store will expect 37 magazines.

Answer 2

Answer:
`Q=37` (37 megazines)

Explanation:

1. To solve this problem you only need to solve for the quantity Q and substitute the values of p, as following:

- Solve for Q:

`p=-Q+42`

`Q=42-p`

- If the bookstore charges $5 for a magazine, you need to substitute
`p=5` into the formula, as following:

`Q=42-5\\Q=37`

2. Therefore, the answer is 37 megazines.