I've started several times, Stuart, to respond to your question, and each time have erased what I started.
Then I was looking around on the web, and found a short version of a job description on Milwaukee Ballet's site for hiring the position of production manager: Milwaukee Ballet Production Manager Listing
Responsibilities: Oversee and coordinate all aspects of physical production and the production process. Supervise and oversee all production staff and crew. Organize and manage production design and scheduling and set rentals. Provide cost estimates on designs submitted and account for commitments and expenditures in budgets for materials and labor in scenic, stage, lighting, sound and special effects, capital equipment and other special projects. Establish technical schedules and coordinate all activities related to theater productions including scenery construction, property construction, painting, maintenance and improvements. Develop equipment and procedures for stage effects and changeovers. Coordinate and oversee the installation, maintenance and inventory of technical equipment and facilities. Assist in contracting dancers, choreographers and designers. Facilitate communication between designers, directors and staff. Maintain supervision of theatre use. Manage carpentry, electrical and property staff.
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So you can see by the responsibilities, there's a lot of areas of experience that come together for the position.
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Ballet British Colunbia also currently has the position open: Ballet British Columbia
• Strategic planning with executive and artistic directors
• Creating and managing performance and creation budgets
• Creating production schedules including stage use, studio use, construction and touring.
• Organizing and maintaining production facilities and equipment
• Liaising with venues, presenters, suppliers, renters and guest companies
• Participation in establishing company policy and staff development
• Contracting of creative designers, production facilities, suppliers and technical staff
• Reviewing designs, schedules and budgets for technical and performance issues
• Video and music management and production for rehearsals and performances
• Maintaining studio equipment and facility
• Organizing rehearsal props, sets and costumes for studio use
• Preparation of all show paperwork
• Supervision of all technical crew
• Determining and documenting all technical procedures for installation, operation, storage, transportation and strike of stagecraft elements
• Determining, ordering and documenting rental and purchase equipment