hound Tree's management makes a forecest of the demand by rental chass for eash night in the future. A inear programming medel developed to maximize proft is used to desermine how many theie are the forecasted demondt, Round Tred will take no mere than these amounts of each reservation for each rental cians. Aound Tree tus a limited number of each type of room, there are 106 . Tyee l roons and 120 Type II rooms. (a) Forthilate and solve a ineer program to determine how many reservabons to atcept in each rentai class and how the reservations ahould be ailscated to room types. (Aswne S, is the fumber Report the number of reservations of each type management should acoegt for each rental dass room type combinatoo to max mine profit. What is the profit (n dolars) othained through this allocation of room reservationa. (b) For the soldion in part (a), how many reservations can be dccommodated in each rental chas? Super saver Detuxe Businest Is the demend for any rental eass not utished? If demand materialues as forecast, there nuil be poons not reverves in the ciss. or a The ti reom? Why? , because this wai increase proft by s (d) Couid bhe linear programming model be msdined te plan for the alocoven of reital demand tor the neet nyma, What infarmatew whid be neesed and how would ire madel change? We would need a forecast of demand for each rental dass on the next night to whe as the right hand uges of the frut trree constraints We would need to know whether the proft per wght of each type of rosm and rental class will change and modfy ail the comataints approoriatily We kould need to know if Jvpe 1 rooms can be used as busness cas rogms the neat nigh and add a variagie to the objective Kunckon. Round Tree's management makes a forecast of the demand by rental class for each night in the fufure. A linear programming model developed to maximize profit is used to Jeternine how many reservations to accepk for each rental class. The demand forecast for a particular night is 150 rentals in the Super Saver class, 70 rentas in the Delume dass, and 60 rentals in the Business class: Since these are the forecbsted demands, Pound Tree will take no more than these amounts of each reservatien for each rental class. Round Tree has a limited number of each type of room. There are 100 Type t fooms and 120 Type 11 rooms: (a) Formulate and solve a linear program to decermine hew many reservations to accept in each rental class and how the reservations should be allocated to room types. (Assume 5 , is the mumber of Super Saver rentals allocated to foom type 1, 5 , is the number of Super Saver rentals allocated to rocen type II, D, is the number of Deluxe rentals allocated to room type I, O2 is the number of Deluxe rentals allocated to roem type II,, 2 is the number of Business rentals allocated to room type II. Write your answers exaresing the a.loount allocated in dollars.) Demand for super saver Demand for Beluxe Report the number of reservations of each type management should accept for each rental class room type combination to maximize profit. What is the profit (in dollars) obrained through this allocation of room reservations. What is the profit (in dollars) obtained through this allocation of room reservations. 36 b) For the solution in part (a), how many reservabons can be accommodated in each rental class? Super Saver Deluxe Business is the demand for ary rental class not satisfied? if demand materialien 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 fental room, If the conversion cost is the same far both types of rooms, would you recommend converting the office to a Type l or a Type II room? Why? because this wilt incrise profit by 5 I) Could the linear programming model be modilied to plan for the allocation of rental demand for the next night? What informaton would be needed and how would the model change? We would need to know how many rooms of Type 1 and Type II there will be on the neat night to use as the nogh-hand sides of the last two constrainta. We would need to know whether the profit per night of each type of room and rental class wil change and modify all the constraints appropriately We would need a forecast of demand for each rental class on the next night to use as the right-hand sides of the first three constraints. We nould need to know if Type 1 rooms can be used as Bisiness class rooms the next night and add a variable to the objective functian. Pound Tree Maner is a hotel that provides tos bypes of roons w th twee tental cianses: Super Saver, Delune, and butiness. The proft per night for esch type of roem and rental dass is as folews. Mound trees managument makes a forecast of the demend by tental dass for each highe in the future. A lrear propramming model developed to makimire probt is vied to determine how mamy The 1 room end 130 Type it rogms Mav 1+ Demand for super swer Demhand for besure Demand for business The inests The I fooms S1,S2,D1,D2,A2,2 Report the mumber of reservations of each tope management sheuld accept for each rental dast room trpe chmbination to mexomize proft. What is the probt (in dolian) obtained throegh this alocobon of roem reservations. (b) For the solition in part (0), how many reservations can be tccommodeted in esch rental daw? Super siver Delune Alvines: Is the demand for any remat chis not sethend? If oentand materlalitet as fomceit, Ehere wil be hound Tree's management makes a forecest of the demand by rental chass for eash night in the future. A inear programming medel developed to maximize proft is used to desermine how many theie are the forecasted demondt, Round Tred will take no mere than these amounts of each reservation for each rental cians. Aound Tree tus a limited number of each type of room, there are 106 . Tyee l roons and 120 Type II rooms. (a) Forthilate and solve a ineer program to determine how many reservabons to atcept in each rentai class and how the reservations ahould be ailscated to room types. (Aswne S, is the fumber Report the number of reservations of each type management should acoegt for each rental dass room type combinatoo to max mine profit. What is the profit (n dolars) othained through this allocation of room reservationa. (b) For the soldion in part (a), how many reservations can be dccommodated in each rental chas? Super saver Detuxe Businest Is the demend for any rental eass not utished? If demand materialues as forecast, there nuil be poons not reverves in the ciss. or a The ti reom? Why? , because this wai increase proft by s (d) Couid bhe linear programming model be msdined te plan for the alocoven of reital demand tor the neet nyma, What infarmatew whid be neesed and how would ire madel change? We would need a forecast of demand for each rental dass on the next night to whe as the right hand uges of the frut trree constraints We would need to know whether the proft per wght of each type of rosm and rental class will change and modfy ail the comataints approoriatily We kould need to know if Jvpe 1 rooms can be used as busness cas rogms the neat nigh and add a variagie to the objective Kunckon. Round Tree's management makes a forecast of the demand by rental class for each night in the fufure. A linear programming model developed to maximize profit is used to Jeternine how many reservations to accepk for each rental class. The demand forecast for a particular night is 150 rentals in the Super Saver class, 70 rentas in the Delume dass, and 60 rentals in the Business class: Since these are the forecbsted demands, Pound Tree will take no more than these amounts of each reservatien for each rental class. Round Tree has a limited number of each type of room. There are 100 Type t fooms and 120 Type 11 rooms: (a) Formulate and solve a linear program to decermine hew many reservations to accept in each rental class and how the reservations should be allocated to room types. (Assume 5 , is the mumber of Super Saver rentals allocated to foom type 1, 5 , is the number of Super Saver rentals allocated to rocen type II, D, is the number of Deluxe rentals allocated to room type I, O2 is the number of Deluxe rentals allocated to roem type II,, 2 is the number of Business rentals allocated to room type II. Write your answers exaresing the a.loount allocated in dollars.) Demand for super saver Demand for Beluxe Report the number of reservations of each type management should accept for each rental class room type combination to maximize profit. What is the profit (in dollars) obrained through this allocation of room reservations. What is the profit (in dollars) obtained through this allocation of room reservations. 36 b) For the solution in part (a), how many reservabons can be accommodated in each rental class? Super Saver Deluxe Business is the demand for ary rental class not satisfied? if demand materialien 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 fental room, If the conversion cost is the same far both types of rooms, would you recommend converting the office to a Type l or a Type II room? Why? because this wilt incrise profit by 5 I) Could the linear programming model be modilied to plan for the allocation of rental demand for the next night? What informaton would be needed and how would the model change? We would need to know how many rooms of Type 1 and Type II there will be on the neat night to use as the nogh-hand sides of the last two constrainta. We would need to know whether the profit per night of each type of room and rental class wil change and modify all the constraints appropriately We would need a forecast of demand for each rental class on the next night to use as the right-hand sides of the first three constraints. We nould need to know if Type 1 rooms can be used as Bisiness class rooms the next night and add a variable to the objective functian. Pound Tree Maner is a hotel that provides tos bypes of roons w th twee tental cianses: Super Saver, Delune, and butiness. The proft per night for esch type of roem and rental dass is as folews. Mound trees managument makes a forecast of the demend by tental dass for each highe in the future. A lrear propramming model developed to makimire probt is vied to determine how mamy The 1 room end 130 Type it rogms Mav 1+ Demand for super swer Demhand for besure Demand for business The inests The I fooms S1,S2,D1,D2,A2,2 Report the mumber of reservations of each tope management sheuld accept for each rental dast room trpe chmbination to mexomize proft. What is the probt (in dolian) obtained throegh this alocobon of roem reservations. (b) For the solition in part (0), how many reservations can be tccommodeted in esch rental daw? Super siver Delune Alvines: Is the demand for any remat chis not sethend? If oentand materlalitet as fomceit, Ehere wil be