The BU 407 Unit 5 sensitivity table analysis entire: shadow prices read off a composite solver report, bounded by their valid ranges, then applied to one buying question. Searches like "bu 407 unit 5 assignment example", "bu407 unit 5 sample" and "bu 407 unit 5 example" land here.
What a finished BU 407 Unit 5 sensitivity table analysis looks like
The finished analysis reproduces the report and then argues with it. The constraint table is printed as the solver returned it, with the shadow price, the right hand side value, and the allowable increase and decrease for every row. A short key explains what each column holds, in the report's own terms rather than in a paraphrase. Binding rows are marked, and the analysis works through them one at a time: what the constraint limits, what an extra unit of it is worth in money, and how far the right hand side can move before that worth changes. Objective coefficient ranging gets its own passage, kept separate from the constraint work. Reduced costs are read for variables the model left at zero. The close prices one purchase decision and states the quantity beyond which the answer flips.
How a BU 407 Unit 5 example is structured
Binding constraints are identified before any price is quoted, since a shadow price on a slack resource is zero and interpreting it as a bargain is the fastest way to lose the section. Each price is then paired immediately with its allowable range, because the two are one fact and separating them turns a bounded result into an open promise. Constraint ranging and objective coefficient ranging are held in different passages, as they answer different questions and blur together when interleaved. Reduced costs come after both, where the reader already knows why some variables sit at zero. The applied question is answered last so the arithmetic behind it is on the page above, and the analysis says what would happen past the allowable increase instead of extending the price silently. Degeneracy, where it appears, is flagged rather than ignored.
Binding rows marked before pricing
Constraints with slack remaining are separated out first, because a shadow price attached to one of them is zero and means no opportunity.
Every price carries its range
The allowable increase and decrease travel with each shadow price, since the value only holds while the right hand side stays inside them.
Constraint ranging kept from coefficient ranging
Changes to resource limits and changes to profit per unit are analyzed in separate passages, as they answer two different management questions.
Reduced costs read for absent variables
Products the model chose not to make get a line saying how much their contribution would have to improve before entering the plan.
One purchase question answered in money
The closing prices a concrete decision about buying more of a scarce resource and names the quantity at which the answer changes.
Report figures belong to the case
A note records that the constraint limits, costs and solver output all come from the composite model this example builds on.
Where marks go in BU 407 Unit 5
Analyses here fail by quoting a shadow price as though it were permanent. A recommendation to buy any amount of a resource at the reported value, with no reference to the allowable increase, is wrong past a quantity the report itself names. Shadow prices reported for constraints that are not binding show the report was skimmed. Reduced cost and shadow price used as though they were the same quantity confuse a variable with a resource. Prices given without units cannot be compared against a supplier quote. Objective ranging summarized as a general statement that profit could change adds nothing. Degenerate output presented as a clean answer overstates its reliability. Actual purchase prices or contract terms from an employer belong nowhere in the model or the write-up.
Get a BU 407 Unit 5 example written to your instructions
Send the Unit 5 instructions from your BU 407 classroom with the rubric and the solved model or report the assignment builds on. We write a custom example that marks the binding rows, pairs every shadow price with its range, keeps the two ranging questions apart and prices one real decision. First custom sample free, back in 24 to 48 hours.
BU 407 Unit 5 questions, answered
What is the difference between a shadow price and a reduced cost?
A shadow price belongs to a constraint and says what one more unit of that resource is worth to the objective. A reduced cost belongs to a variable sitting at zero and says how much its coefficient must improve before the model would use it. Mixing them produces advice about buying a resource when the report was talking about a product.
What happens outside the allowable increase?
The shadow price stops applying, because a different set of constraints becomes binding and the model changes shape. Past that point the honest answer is that the report cannot say, and the model has to be resolved with the new right hand side. Saying exactly that, and naming the quantity where it happens, is usually worth more than an extrapolation.
Does the analysis need the model rebuilt to check a result?
Not usually, and that is the argument for sensitivity output existing at all. Where a change sits inside the stated ranges, the report answers the question directly. Where it sits outside, or where the output looks degenerate with a zero allowable movement, resolving the model is the safe route and a line explaining why you resolved it reads well.