Weighted score of a multiple-choice option with more than one answer

Question

What would be the formula to calculate the weighted score for the following scenario?

Some question is asked with answer scores ranging from 0 to 5. No correct or incorrect classification. Just a relative score range.

• Answer 1 Weight = 5
• Answer 2 Weight = 4
• Answer 3 Weight = 0

Choice Scenarios:

1. Highest score if both 1 & 2 are chosen.
2. Lower score if all 3 options are chosen
3. Worst score on the choice of 3.
4. Good (but not the maximum) score if either 1 or 2 is chosen.

I also thought about making the scale -5 to 5 in order to penalize for choosing a negative weight.

Answer 1

Avg weight is 3, score = sum(weight[answers] - avg).

Choose 1, score = 2
Choose 2, score = 1
Choose 1 & 2, score = 3
Choose 1, 2 & 3, score = 0
Choose 3, score = -3