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

Answer: $Q=37$ (37 megazines)

Step-by-step 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.

Answer 2

Answer:

37 magazines.

Step-by-step 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.