Which of the following tools will best help an operations manager to evaluate the number of components per meat thermometer?

Pensacola Amusement is considering two types of tickets: deluxe or basic. The marketing manager believes there is a 50% probability of a good market and a 20% probability of a fair market. The demand forecasts and revenues per ticket are in Figure 2 and Table 1. Figure 2. Pensacola Amusement Ticket Design Decision Tree Table 1. Pensacola Amusement Ticket Forecasts and Revenues Design Good Market Forecast Good Market Revenue/ticket Fair Market Forecast Fair Market Revenue/ticket Poor Market Forecast Poor Market Revenue/ticket Deluxe 920 tickets $15/ticket 820 tickets $15/ticket 720 tickets $15/ticket Basic 1,370 tickets $10/ticket 1,280 tickets $10/ticket 1,100 tickets $10/ticket a) Using Table 1, the Deluxe ticket revenue forecast for a good market is [DelGoodRevenue].  b) Using Table 1, the Deluxe ticket revenue forecast for a fair market is [DelFairRevenue].  c) Using Table 1, the Deluxe ticket revenue forecast for a poor market is [DelPoorRevenue].  d) Using Table 1, the total expected Deluxe ticket revenue is [EMVDel]. e) Using Table 1, the Basic ticket revenue forecast for a good market is [BasGoodRevenue].  f) Using Table 1, the Basic ticket revenue forecast for a fair market is [BasFairRevenue].  g) Using Table 1, the Basic ticket revenue forecast for a poor market is [BasPoorRevenue].  h) Using Table 1, the total expected Basic ticket revenue is [EMVBas].  i) Using Table 1, the recommended ticket design based on decision tree analysis is [DTA5].

Symbols for Relational Algebra Expressions and Other Symbols Symbols for relation schemas: R, S, T Symbols for relations: R, S, T, ∅ Symbols for Relational Algebra operators: ∪, -, π, σ, ρ, ⨯, ∩, Δ, ÷, ⨝, ⟗, ⟕, ⟖, ⋉, ⋊, ▷ Symbols for logical connectives: ∧, ∨, ¬ Symbols for comparison predicates: , =, ≤, ≥, ≠ Symbols for set-theoretical operations: ∈, ∉, ⊆, ⊂, ⊇, ⊃ Other mathematical symbols: ⊥, ⋅, ∃, ∀, ∘, ←, → All names (for example, for relations and attributes) should be written in normal font (no italics) to increase readability. All symbols should be surrounded by blanks to increase readability. Given two relations R(A, B, C) and S(B, C, D, E). Discuss if the numbers of attributes of the result relations of the two Relational Algebra expressions R ⟕F S and R ⟕ S are the same.

Symbols for Relational Algebra Expressions and Other Symbols Symbols for relation schemas: R, S, T Symbols for relations: R, S, T, ∅ Symbols for Relational Algebra operators: ∪, -, π, σ, ρ, ⨯, ∩, Δ, ÷, ⨝, ⟗, ⟕, ⟖, ⋉, ⋊, ▷ Symbols for logical connectives: ∧, ∨, ¬ Symbols for comparison predicates: , =, ≤, ≥, ≠ Symbols for set-theoretical operations: ∈, ∉, ⊆, ⊂, ⊇, ⊃ Other mathematical symbols: ⊥, ⋅, ∃, ∀, ∘, ←, → All names (for example, for relations and attributes) should be written in normal font (no italics) to increase readability. All symbols should be surrounded by blanks to increase readability. Database schema Animals(AnimalID, Species, Name, DateOfBirth, Gender, HabitatID, Origin, ArrivalDate, DietType)Habitats(HabitatID, Type, Size, Location, CleaningSchedule, EnvironmentControlSettings)ZooStaff(StaffID, FirstName, LastName, Role, Department, HireDate, Qualifications, ContactNumber)AnimalHealthCare(StaffID, AnimalID, CareDate, Treatment, Notes)VisitorTours(TourID, Date, Time, GuideStaffID, RouteDescription, Theme, Duration, GroupSize)Maintenance(MaintenanceID, HabitatID, Description, Year, Date, StaffID, Status, Priority)ConservationPrograms(ProgramID, Name, Description, StartDate, EndDate, ResponsibleStaffID)ZooEvents(EventID, Name, Date, Time, Location, OrganizerStaffID, TargetAudience, Budget) Query Find the names of staff members who maintained habitats with “Tropical Rainforest” environment control settings last year.

In Chen’s notation as well as in Crow’s foot notation for the design of ER diagrams, the specification of cardinalities for ternary and higher-degree relationship sets is problematic and not meaningful. Argue why this is the case and why this leads to the consequence of omitting them.

Part 4: Relational Algebra – Query Design [35 points] Consider the following relations for a zoo management system. The primary keys are underlined. Animals(AnimalID, Species, Name, DateOfBirth, Gender, HabitatID, Origin, ArrivalDate, DietType)Habitats(HabitatID, Type, Size, Location, CleaningSchedule, EnvironmentControlSettings)ZooStaff(StaffID, FirstName, LastName, Role, Department, HireDate, Qualifications, ContactNumber)AnimalHealthCare(StaffID, AnimalID, CareDate, Treatment, Notes)VisitorTours(TourID, Date, Time, GuideStaffID, RouteDescription, Theme, Duration, GroupSize)Maintenance(MaintenanceID, HabitatID, Description, Year, Date, StaffID, Status, Priority)ConservationPrograms(ProgramID, Name, Description, StartDate, EndDate, ResponsibleStaffID)ZooEvents(EventID, Name, Date, Time, Location, OrganizerStaffID, TargetAudience, Budget) Write Relational Algebra expressions for the following queries. It is recommended to formulate your Relational Algebra expressions as multi-step queries. This provides you with a better overview, and you can deploy already computed intermediate relation results in later queries by using their names. Further, lengthy Relational Algebra expressions that are difficult to understand are avoided.

Symbols for Relational Algebra Expressions and Other Symbols Symbols for relation schemas: R, S, T Symbols for relations: R, S, T, ∅ Symbols for Relational Algebra operators: ∪, -, π, σ, ρ, ⨯, ∩, Δ, ÷, ⨝, ⟗, ⟕, ⟖, ⋉, ⋊, ▷ Symbols for logical connectives: ∧, ∨, ¬ Symbols for comparison predicates: , =, ≤, ≥, ≠ Symbols for set-theoretical operations: ∈, ∉, ⊆, ⊂, ⊇, ⊃ Other mathematical symbols: ⊥, ⋅, ∃, ∀, ∘, ←, → All names (for example, for relations and attributes) should be written in normal font (no italics) to increase readability. All symbols should be surrounded by blanks to increase readability. Show if the statement that πA(R ∩ S) = πA(R) ∩ πA(S) with A as a common attribute of R and S is correct or not.

Explain why Crow’s foot notation does not make use of double lines in ER diagrams for indicating total participation.

Part 3: Relational Algebra – Think Deeper [15 points] Provide answers to the following questions.

Symbols for Relational Algebra Expressions and Other Symbols Symbols for relation schemas: R, S, T Symbols for relations: R, S, T, ∅ Symbols for Relational Algebra operators: ∪, -, π, σ, ρ, ⨯, ∩, Δ, ÷, ⨝, ⟗, ⟕, ⟖, ⋉, ⋊, ▷ Symbols for logical connectives: ∧, ∨, ¬ Symbols for comparison predicates: , =, ≤, ≥, ≠ Symbols for set-theoretical operations: ∈, ∉, ⊆, ⊂, ⊇, ⊃ Other mathematical symbols: ⊥, ⋅, ∃, ∀, ∘, ←, → All names (for example, for relations and attributes) should be written in normal font (no italics) to increase readability. All symbols should be surrounded by blanks to increase readability. Consider the Relational Algebra statement πA(σF(R)) = πA(σF(πA ∪ B(R))) with A, B ⊆ R. Discuss if this statement is, in general, correct. If yes, argue why this is the case. If no, argue why this is not the case and determine if the statement can be made correct by an additional condition.