Hello, Unusualtoe!

This certainly has a tricky set-up . . .

Let = number of servings of juice sold: .1000 guests at a fundraiser.

$1 for juice, $1.75 for soda

Let = number of servings of soda sold: .

We have: .Each drink has to be served in an unused plastic cup of which there are 5,000

It says: .Juice is at least 30% of (Juice + Soda)Juice must account for at least 30% of drinks served

So we have: .

. . This becomes: .

There are 1000 guests.Each guest can only have 3 sodas

If each has 3 sodas, 3000 sodas will be sold: .

There will be: . ice cubes used.Each juice must have 2 ice cubes and each soda must have 4 ice cubes.

There are 15,000 ice cubes available.

. .

Objective function: .Goal is to maximize profit

Graph the region determined by the six constrants (in blue).

Test the vertices in the Profit function (in red).