1) The above "Primal LP" Model is assigned ________ "Dual" variables _________ . *

two; Y1 & Y2

two; X1 & X2

three; Y1, Y2, & Y3

three; X1, X2, & X3

2)

The "Dual" objective function is written as *

minimize w = 21y1 + 25y2

maximize w = 21y1 + 25y2

minimize z = 6x1 + 4x2

maximize z = 6x1 + 4x2

3)

The first "Dual" constraints is written as *

x1 + 2x2 21

y1 + 3y2 4

y1 + 3y2 4

x1+ 2x2 21

4)

The 2nd "Dual" constraint is written as *

3x1 + 3x2 25

2y1 + 3y2 7

3x1+ 3x2 25

2y1 + 3y2 7

5)

Coefficients of Slacks in the Optimal Dual LP model = *

optimal value of the slack variables in the "Primal LP Model"

optimal value of the decision variables in the "Primal LP Model"

Coefficients of Slacks in the Optimal Primal LP model

coefficients of the decision variables in the optimal "Primal LP Model"

Consider the following example: Dairy-Day produces two different types of dairy products: milk & yogurt. Both products undergo two processes: "Processes 1 & 2". To proceed with production, Dairy-Day has at least 21 hours for process 1, and at least 25 hours for process 2. Milk requires an hour in process 1, and 3 hours in process 2. On the other hand, yogurt requires 2 & 3 hours respectively in processes 1& 2, The cost of producing a bottle of milk is $4 while it costs $7 to produce a bottle of yogurt Formulate the above Primal LP" model then answer the following questions