Maximizing Advertising ROI using Linear Programming

You have the following goals for your advertising efforts.
Maximize ROI of advertising spending, subject to the 8 constraints below.
Options Cost Number of Clicks Clicks per $ $ per Click Conversions (orders) Orders / $ Revenue (Total) ROI
Search ads $14,000 22,068 1.58 0.63 2,300 0.16 $225,776 15.13
Display ads $10,000 23,000 2.30 0.43 482 0.05 $35,000 2.50
KZbin ads $3,000 12,000 4.00 0.25 1,100 0.37 $23,000 6.67
Facebook $4,000 35,000 8.75 0.11 3,000 0.75 $135,000 32.75
Constraints ROI = Revenues - Expenses
1. Total budget = 20,000 Expenses
2. At least $2,000 of display ads
3. At least $2,000 of search ads
4. YT plus FB has to be at least 50% of the total
5. FB must be more than search
6. Search has to be at least 10%
7. Need at least 3,000 responses (conversions)
8. KZbin has to be at least 10%

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