An online retailer wants to optimize its marketing portfolio budget to maximize its return on investment (ROI). The retailer has decided to allocate a AED 1,000,000 budget across three different campaigns: print media, mobile advertising, and social media. The expected ROI is 3% from print media, 15% from mobile advertising, and 12% from social media. The retailer decided that print media should account for at least 15% of the budget while mobile advertising should not account for more than 40% of the total budget. Furthermore, the retailer decides that social media and print media should account for at least 50% of the total allocated budget.

Formulate an LP problem to help the retailer allocate the budget optimally to obtain maximum ROI. Should the company consider revising its allocation plan?