The cost estimates for Heritage High School are lower than originally projected. A third-party cost analysis, which will be presented to City Council today, now projects the new school will cost a total of $80.4 million. That is down from a prediction of $84 million given last fall. The Heritage High project will rebuild completely the current high school building on the same site. City officials hope to begin the bidding process, next month. Contractor bids will determine the actual construction budget for the project. Financing the project without raising taxes will be the objective in local budget talks this year. Council will be holding its annual budget retreat next week.