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This lecture covers the concepts of linear and quadratic models of Scheffé in the context of mixing plans and ternary schemes. Starting with the determination of linear models based on recipe portions, the instructor explains the constraints and measurements involved. Moving on to quadratic models, the lecture delves into the standard and modified quadratic models of Scheffé, emphasizing the rank and constraints. The cubic model of Scheffé is also discussed, focusing on its integration with proportion constraints. The representation of constraints in mixing models is explored, highlighting the generalization and visualization of constraints in mixing spaces and plans.