Linear utility to part worth conversion

Hi,

We have study where Price is in the range from -10%, -5%,0%,+5% and +10% but now client wanted to see the price in 1% interval which we do not have in the design and analysis. We have used interpolation calculation to arrive 1% interval but at the same time we tried to run Price as linear utility. Now, we have only one utility for Price and now wanted to make this in 1% interval.

So, if someone can help me on

1) What is calculation of linear Price utility into Part worth.

2) If interpolation is reliable method to see 1% interval then why?

3) We have 0% price as well then in linear how to get part worth of 0% price range.

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