Under an LP model, the shadow price measures the in the value of the optimal sol
ID: 3011935 • Letter: U
Question
Under an LP model, the shadow price measures the in the value of the optimal solution, per unit change in the supply of a given. decrease, resource increase, technical coefficient improvement, resource decrease, parameter increase, objective function coefficient both (iii) and (v) Let x_ij = gallons of component i used in the formulation of gasoline j. Assume we have two components and two types of gasoline. There are 8,000 gallons of component 1 available and 10,000 gallons of component 2. The amount of gasoline types 1 and 2 to be produced are 11,000 and 14,000 gallons, respectively. For this ingredient mix example what is the supply constraint for component 1 x_21 + x_22 lessthanorequalto 8,000 x_12 + x_22 Greaterthanorequalto 8,000 x_11 + x_12 lessthanorequalto 8,000 x_21 + x_22 Greaterthanorequalto 8,000 x_11 + x_12 - x_21 - x_22 lessthanorequalto 8,000 What constraint shows the blend for gasoline type 1 x_21 + x_22 = 11,000 x_12 + x_22 = 11,000 x_11 + x_21 lessthanorequalto 11,000 x_11 + x_21 = 11,000 x_11 + x_21 - x_12 Greaterthanorequalto 11,000 Write the constraint restricting component 1 from accounting for no more than 35% of gasoline type 1. x11 - x12 + (.35)(x11 + x21) lessthanorequalto 0 x11 + .35(x11 + x12) Greaterthanorequalto 0 -.65x11 + .35x21 lessthanorequalto 0 .65x11 - .35x21 lessthanorequalto 0 This type of constraint is not possible in a linear programming model as it is a nonlinear constraintExplanation / Answer
1. For this answer is 6 th option as options 3&5 are satisfying the given question.
As optimization means getting the best answer from the available answer.
2.constraint is option 3 as value should not cross 8000
3. Answer is option 4 as it equal to 11000
4. Answer is 5 as we can't find constraints in a linear programming for this condition
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