Acertain bakery has found that the daily demand for bran muffins is startfraction 9600 over p endfraction 9600 p , where p is the price of a muffin in cents. the daily supply is 44pminus−200200. find the price at which supply and demand are equal.

Step-by-step explanation:

The bakery found out that the demand is

D = 9600 / p

Where P is the price of muffins in cents

Daily supply is give as

S=4p — 200 ( I believe it is a typo error, and that is why I used 4p - 200, due to the experience I have with site.)

We want to find the price at which the demand is equal to the supply

It is a very straight forward questions

Demand. = Supply

Then,

D = S

9600 / p = 4p - 200

Cross multiply

9600 = 4p² - 200p

Rearrange to form quadratic equation

4p² - 200p - 9600 = 0

Divide through by 4

p² - 50p - 2400 = 0

Check attachment for solution using formula method to solve quadratic equation

Using factorization

p² - 80p + 30p - 2400 = 0

p(p-80) + 30(p-80) = 0

(p+30)(p-80) = 0

So, it is either p+30 = 0. Or p-80=0

p = -30 or p = 80

Since the price can't be negative,

We are going to discard the negative price.

Then, the price is 80cents per muffins.

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half