E$4\mathrm{.}6($LO $2),$ AP The following selling price and cost information is associated with online retailer Tea Company$$s hottest selling mug, The Warmer.E$4\mathrm{.}6(L{O}_2),$ AP The following selling price and cost information is associated with online retailer Tea Company's hottest selling mug, The Warmer.

$\backslash$table$[[$Selling price per unit,$$18$

Selling price per unit

$$18$

Product cost per unit

$$7$

Marketing costs per month

$$100$

Administrative costs per month

$$200$

Other fixed costs per month

$$200$

Shipping cost per unit $($currently paid by Tea Company$)$

$$3$

Sales volume of mugs per month

$90$

Each scenario below is independent of the others.

Required

How much monthly operating income does Tea Company currently earn?

How much operating income would it earn if the company$$s marketing costs increased to $$250$ per month, its volume increased to $100$ mugs per month, and its shipping cost went down to $$2$ per unit?

How much operating income would it earn if it shifted the shipping cost to the customer, while lowering the selling price to $$17($all else is the same as original$)?$

In which scenario does Tea Company generate the most income? What characteristics are present in this scenario that were not present in the other scenarios?