You work for

CNN$.$com and are in charge of selling banner ads for next Friday. You contract

with companies to plan how many visitors to the CNN website are shown ads for their products.

A visitor being exposed to one of the company's ads is known as an impression. You are paid

based on how many of the impressions lead to a click through to the company's website.

Factoring in the click$-$through rates and the revenue per click through, you have calculated the

following expected revenue per impression for two sections of the website $($Business and Sports$)$

for three of your client companies $($Nike$,$ Oracle, and P&G$)$ :

Expected Revenue per Impression $($$$)$

Maximum Total Impressions by Section

Business $,2,500,000$

Sports $,1,900,000$

Your contracts specify lower and upper bounds on how many total impressions you will allocate

to each client company $($across both sections$).$ Each company must be allocated at least

$1,000,000$ impressions but no more than $2,000,000.$

Your job is to build a linear program to maximize revenue from these banner ads. Provide the

algebraic model to solve this problem. Be sure to define your decision variables. Do not solve the

problem, just model it$.$