Problem 12-07 Hanson Inn is a 96-room hotel located near the airport and convention center in Louisville, Kentucky. When a convention or a special event is in town, Hanson increases its normal room rates and takes reservations based on a revenue management system. The Classic Corvette Owners Association scheduled its annual convention in Louisville for the first weekend in June. Hanson Inn agreed to make at least 50% of its rooms available for convention attendees at a special convention rate in order to be listed as a recommended hotel for the convention. Although the majority of attendees at the annual meeting typically request a Friday and Saturday two-night package, some attendees may select a Friday night only or a Saturday night only reservation. Customers not attending the convention may also request a Friday and Saturday two-night package, or make a Friday night only or Saturday night only reservation. Thus, six types of reservations are possible: convention customers/two-night package; convention customers/Friday night only; convention customers/Saturday night only; regular customers/two-night package; regular customers/Friday night only; and regular customers/Saturday night only. The cost for each type of reservation is shown here. Convention Regular Two-Night Package $225 $295 Friday Night Saturday Night Only Only $123 $130 $146 $152 The anticipated demand for each type of reservation is as follows: Convention Regular Two-Night Package 40 20 Friday Night Only 20 30 Saturday Night Only 15 25 Hanson Inn would like to determine how many rooms to make available for each type of reservation in order to maximize total revenue. a. Define the decision variables and state the objective function. Let CT = number of convention two-night rooms CF = number of convention Friday only rooms CS = number of convention Saturday only rooms RT = number of regular two-night rooms RF = number of regular Friday only rooms RS = number of regular Saturday only room CT + CF + CS + RT + RF + RS