SOP $($Search Optimization Pro$)$ sells online digital advertising to local business via its sales

associates. When a sales associate approaches a local business, he or she tries to convince

the local business to let SOP use its experience to manage the business's online

advertisements on Google, Facebook, etc. If the sales associate is successful, the business

signs a contract with SOP, and they agree on the terms. The contract includes following details:

$$ Monthly advertising budget $($B$),$ this is the maximum amount SOP will spend on behalf of

the business each month.

$$ Digital Advertising Setup Fee, Annual $($S$)$: $$3000-5000,$ negotiable and varies according

to each contract's terms and the business's complexity. $($Hint: do not worry about

setting this constraint yet, it is for assignment $2).$

$$ Monthly Management Fee $($F$)$: $$2800+18\%$ of Monthly Ad Spend

F $=2800+0\mathrm{.}18*$ B