Please explain in detail and follow the condition "Round answer in 2 or 3 decimal". Thank you

\"A FZ'l lSD5361B HW7(Ch12)-ISD X + o 7 X ( 9 C 0 webassignnet/web/Student/Assignmentikesponses/lasi?dep:26569499 194' * 3 l Apps M Email a Maps a ALeadIng CSUlCaI... e MEMT 34D {4 lSDS 3613 n ACCT 30TA } Spectrumnel Horn... ' Rate My Professors E Google chn Cheggisave up to... a ishuumalsu NaniS... Readinglisl Round Tree Manor Is a hotel that prowdes two types of rooms With three rental classes. Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class Is as follows. Rental Class Supersaver Deluxe Businss Type I $30 $35 7 Rnom Type II $20 $30 $40 Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 150 rentals in the Super Saver class, 70 rentals in the Deluxe class, and 60 rentals in the Business class. Since these are the forecasted demands, Round Tree will take no more than these amounts of each reservation for each rental class. Round Tree has a limited number of each type of room. There are 100 Type I rooms and 120 Type 11 rooms. (a) Formulate and solve a linear program to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types. (Assume S1 is the number of Super Saver rentals allocated to room type I, 52 is the number of Super Saver rentals allocated to room type [1, D1 is the number of Deluxe rentals allocated to room type 1, D2 is the number of Deluxe rentals allocated to room type II, 52 is the number of Business rentals allocated to room type [1. Write your answers expressing the amount allocated in dollars.) Max s.t. Demand for Super Saver Demand for Deluxe Demand for Business Type 1 Rooms Type 11 Rooms 51,52, 01,02, 32 2 0 Report the number of reservations of each type manaoement should accept for each rental class room type combination to maximize orofit. ,OTypeheretosearch O Si H e :'I a a I I I a c .. 1:16PM '3' \"F A g a E a M 11/16/2021 %) m F21 lSDSSEiB HW7 (Ch12) - ISDS X + o 7 X (- -) C O i webassignnel/web/Student/AssignmentResponses/lasi?dep:26569499 ' I 3 5 Apps M Gmail I Maps I ALeadIngCSUICaI... e MGMT34O {2 isossam ACCTsmA ) SpemrunmelHorn... U RateMy Professors h GoogleDich CheggrSaveuplu... II rShuumalsuNaniS... l Reading list .31, .12, L11, L12, a2 , u Report the number of reservations of each type management should accept for each rental class room type combination to maximize prot. What is the prot (in dollars) obtained through this allocation of room reservations. 15: (b) For the solution in part (a), how many reservations can be accommodated in each rental class? [s the demand for any rental class not satisfied? [f demand materializes as forecast, there will be : rooms not reserved in the class. (c) With a little work, an unused office area could be converted to a rental room. If the conversion Cost is the same for both types of rooms, would you recommend converting the ofce to a Type I or a Type 11 room? Why? , because this will increase profit by :3 l: . (d) Could the linear programming model be modified to plan for the allocation of rental demand for the next night? What information would be needed and how would the model change? 0 We would need a forecast of demand for each rental class on the next night to use as the right-hand sides of the rst three constraints. 0 We would need to know whether the profit per night of each type of room and rental class will change and modify all the constrainE appropriately. 0 We would need to know how many rooms of Type I and Type II there will he on the next night to use as the righthand sides of the last two constraints. 0 We would need to know if Type 1 rooms can be used as Business class rooms the next night and add a variable to the objective function. - ,0 Type here to search m',\" 46H A @a