The Rent-A-Dent car rental company allows its customers to pick up a rental car at one location and return it to any of

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The Rent-A-Dent car rental company allows its customers to pick
up a rental car at one location and return it to any of its
locations. Currently, two locations (1 and 2)
have 17 and 19 surplus cars, respectively, and
four locations (3, 4, 5, and 6) each need 10 cars. The costs of
getting the surplus cars from locations 1 and 2 to the other
locations are summarized in the following table.
Because 36 surplus cars are available at locations 1 and 2, and
40 cars are needed at locations 3, 4, 5, and 6, some locations will
not receive as many cars as they need. However, management wants to
make sure that all the surplus cars are sent where they are needed,
and that each location needing cars receives at least five.
Formulate an LP model, then use Solver to create a Sensitivity
Report for your model and answer the following questions.
(a)
Is the optimal solution unique? How can you tell?
Some of the allowable increase or decrease values for the
objective coefficients are zero, so there are alternate optimal
solutions.
Some of the allowable increase or decrease values for the RHS
values are zero, so there are alternate optimal
solutions.
We cannot determine if the optimal solution is unique based on
our sensitivity report because the solution is degenerate.
None of the allowable increase or decrease values for the RHS
values are zero, so the optimal solution is unique.
None of the allowable increase or decrease values for the
objective coefficients are zero, so the optimal solution is
unique.
(b)
Which location is receiving the fewest cars?
location 3location 4 location 5location
6
(c)
Suppose a particular car at location 1 must be sent to
location 5 in order to meet a customer's request. How
much does this increase costs for the company (in dollars)?
It increases costs by $ .
(d)
Suppose location 4 must have at least eight cars
shipped to it. What impact does this have on the optimal objective
function value (in dollars)? (Enter your answer as a positive
number.)
This will lower or raise the total cost by $