Word Problem

Question

The cost of a newspaper advertisement is a function of its size. A company wants its advertisement to have a height that is twice its width. The newspaper charges a flat rate of $50 plus an additional $10 per square inch. The company can spend no more than $2,050 on the advertisement. What is the maximum height of an advertisement that the company can afford?

I need the steps and the answer please!

Answer 1

We are given:

h=2*w ; w=h/2

Cost=50+10*Area=2050.

 

The maximum area of the ad is 200 sq in. 

 

We know Area = h*w=h*h/2 = 1/2 h*2=200, so h= 20 in. (w=10 in)

(The negative root for h was ignored because it does not make sense to the problem solution.)