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COMPUTER TABLETS Last year, an office supply store sold 220 computer

tablets for $420 each. This year its manager is considering reducing the

price to increase sales. She estimates that for each $12 decrease in price,

the store will sell 20 additional tablets.


a. Define variables and write a function to represent the situation.


b. How much should the store charge for each tablet to maximize its profit?


c. Find the domain and range in the context of this situation



Answer :

a. The function to represent the situation y = 420x.

b. The store charge for each tablet to maximize its profit is $408

c. The  domain is [0, ∞) and the range is [0, ∞).

Function:

Basically, the term function means the relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given,

Last year, an office supply store sold 220 computer tablets for $420 each. This year its manager is considering reducing the price to increase sales. She estimates that for each $12 decrease in price, the store will sell 20 additional tablets.

Here we need to find the following:

a. The function to represent the situation

b. The store charge for each tablet to maximize its profit

c. The domain and range

While we looking into the given question as have identified that,

Price of each tablet = $420

Number of tablet sold = 220

Let us consider x be the number of tablet sold and y be the total amount.

So, the function that is used to calculate the sold tablet numbers is written as,

=> y = 420x

Here the store charge for each tablet to maximize its profit is $12.

So, the current price for the tablet is $408.

Here the domain is [0, ∞) and the range is [0, ∞).

To know more about Function here.

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