Yearly Max Search Volume$)1$st Position CTR $2$nd Position CTR $3$rd Position CTR $1$st Pos CPC $2$nd Pos CPC $3$rd Pos CPC Conversion Rate AOV

Paid Search:

PS $-$ Branded $140,0009\%8\%7\%$ $$1\mathrm{.}95$ $$1\mathrm{.}80$ $$1\mathrm{.}603\mathrm{.}7\%$ $$58$

PS $-$ Non$-$branded $270,0005\%4\%3\%$ $$2\mathrm{.}85$ $$2\mathrm{.}80$ $$2\mathrm{.}702\mathrm{.}5\%$ $$50$

PS $-$ Shopping $170,0008\%7\%6\%$ $$1\mathrm{.}85$ $$1\mathrm{.}80$ $$1\mathrm{.}703\mathrm{.}4\%$ $$55$

PS $-$ Remarketing $350,0006\%5\%4\%$ $$1\mathrm{.}95$ $$1\mathrm{.}70$ $$1\mathrm{.}602\mathrm{.}8\%$ $$57$

PS $-$ YouTube $1,200,0000\mathrm{.}5\%0\mathrm{.}5\%0\mathrm{.}5\%0\mathrm{.}8\%$ $$35$

You are the Digital Marketing Manager for Oakley$$s new sub$-$brand: the "Radical James Sunglasses $".$ It's a whole new sub$-$brand that Oakley is introducing for June, $2024.$ You have been given a yearly digital marketing budget of $$200,000.$

Your boss has said the # $1$ goal is to MAXIMIZE gross profit with the limited budget that you have. Gross profit in this case is calculated as follows:

Total revenue minus total advertising cost $=$ gross profit.

The cost of manufacturing the Radical James Sunglasses is very low, so the manufacturing cost is not important. For this exercise, the only cost is your advertising cost.

You can use any combination of the paid search campaign types.

NOTE: For any Paid Search campaign types, your ad can only be in one specific position. So$,$ if you want to use $"$PS $-$ Branded," you can choose only ONE position: $1$st$,2$nd$,$ or $3$rd position. You cannot be simultaneously be in # $1,$ # $2,$ and # $3$ in $"$PS $-$ Branded".

Of course, you can use a mix of the $6$ paid search campaign types in the chart. For example, you can choose to spend $$50,000$ on Branded and $$50,000$ on YouTube, and $$100,000$ on Shopping for a total of $$200,000.$