How do i do this? i'm so confused. theanswer should be 20, but i dont knkw how to get the answer. show work

> Let be the height of the ad, and its width. The company wants .

> Regardless of the size of the ad, the newspaper will charge $50 minimum. Then for every additional $10 for every square inch. This means the price of the ad, as a function of the ad's size/area , is

Assuming the ad is rectangular, its size/area is given by , so we can write the price as a function of the ad's width:

where is another price function, but one that depends on directly (*not* the same as , but represents the same thing).

> The company wants the price to be no greater than $2050.

So what we're doing is maximizing the size of the ad, , subject to the price constraint, .

- - -

Without using calculus (and I won't bother demonstrating the method that does use it): taking the constraint inequality, we can solve for to get an idea of what values of are allowed.

The width of the ad can't be negative, so the actual interval of allowed values for would be .

Since for all , it stands to reason that its maximum value will occur at the end of this interval when inches.

The ad's height is twice its width, so the height of the add would be inches, which makes D the correct answer.

1. minimum

2. 6400

3. eight

hope this !

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