Hazard evaluation generally defines the ranking of hazards in the work environment and ignores the interaction of hazards. This article aims to overcome this drawback using a fuzzy cognitive map (FCM) approach to analyze the interaction of hazards related to sheathing tasks in a construction firm. The FCM approach can be insufficient for hazard evaluation over the long term due to certain budget and time restrictions allocated by the firm. When the firm allocates more time and budget for a process, the firm must limit the allocated time and budget for the other processes. This article aims to overcome this problem so linear programming is used to optimize the goal and resources of the firm. The article contributes to hazard evaluation of sheathing tasks in a construction firm considering the interaction of the hazards and the capacity of the firm.