In: Operations Management
Hervis Car Rental in Austin, Texas, has 50 high-performance
Shelby-H Mustangs in its rental fleet. These cars will be in
greater demand than usual during the last weekend in July when the
Central Texas Mustang Club holds its annual rally in Austin. At
times like this, Hervis uses a revenue management system to
determine the optimal number of reservations to have available for
the Shelby-H cars.
Hervis has agreed to have at least 60% of its Shelby-H Mustangs
available for rally attendees at a special rate. Although many of
the rally attendees will request a Saturday and Sunday two-day
package, some attendees may select a Saturday-only or a Sunday-only
reservation. Customers not attending the rally may also request a
Saturday and Sunday two-day package, or make a Saturday-only or
Sunday-only reservation. Thus, six types of reservations are
possible. The cost for each type of reservation is shown
here.
Two-Day |
Saturday- |
Sunday- |
|
Package |
Only |
Only |
|
Rally |
$125 |
$75 |
$65 |
Regular |
150 |
85 |
75 |
The anticipated demand for each type of reservation is as
follows:
Two-Day |
Saturday- |
Sunday- |
|
Package |
Only |
Only |
|
Rally |
20 |
10 |
15 |
Regular |
10 |
20 |
25 |
Hervis Car Rental would like to determine how many Shelby-H
Mustangs to make available for each type of reservation in order to
maximize total revenue.
Hi,
Please find answers as below. I have used excel solver to solve the problem.
I have attached snapshots of input data, formulas and constraints used along with the optimal solution.
Answer
1. Snapshot of Input Data
2. Snapshot of Formula used
3. Snapshot of Constraint used
4. Snapshot of Optimal Solution