Question

Create a simple 0, 1 integer model for a situation or problem you face in your life. Is there an optimal solution for your problem? What type of model would you use to create an optimal solution? Explain.

Answer 1

Everyday I face the problem of which items I should carry to work

Either I carry my laptop, or my phone charger or my umbrella

Apparently my bag is strong enough to let me carry just 2 of these items (and not all 3)

Its also rainy season here, so chances of it raining (and me needing my umbrella) are quite high

Thus, I have a certain utility of each of these items, say Laptop - 40%, Phone Charger - 40%, Umbrella - 20% (on most days)

But on rainy days: Laptop - 20%, Phone Charger - 40%, Umbrella - 40% (on most days)

So depending on the day I want to maximize either or

subject to and

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