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There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice and eat roast snig. Past history shows that a reasonable price-demand equation is: p = 300 − 18 x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat. a . To sell an additional kilogram of snig, how much does the price need to decrease

Respuesta :

Answer:

The price would be decreased by 18 bozats

Step-by-step explanation:

The following information is given in the question

x = number of kilograms of snig sold

P = Price per kilogram

And, the equation is

p = 300 - 18x

Now if an extra kilogram is sold so it should be x+1

Now the new price is

New price = 300 - 18(x + 1)

= 300 - 18x - 18

Therefore the price would be decreased by 18 bozats

Given that:

Price-demand equation is

[tex]p=300-18x[/tex]

where, x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat.

To find:

The price which needs to decrease to sell an additional kilogram of snig,

Solution:

We have,

[tex]p=300-18x[/tex]

If x=1, then

[tex]p=300-18(1)[/tex]

[tex]p=300-18[/tex]

[tex]p=282[/tex]

It means, the price is 282 if 1 kg of snig sold.

Similarly,

If x=2, then

[tex]p=300-18(2)[/tex]

[tex]p=300-36[/tex]

[tex]p=264[/tex]

It means, the price is 264 if 2 kg of snig sold.

Change in price if sales increased by 1 kg is

[tex]264-282=-18[/tex]

Here, negative sign means decrease in price.

Therefore, the price needs to decrease by 18 to sell an additional kilogram of snig.

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