A hotel and conference center at a holiday destination can cater for a maximum of 540 tourists and conference attendees per month but does not open for business in any month in which the number of bookings is less than 300. The number of tourist bookings is always greater than or equal to the number of conference attendees but never more than twice as many. The profit made per tourist per month is $16 while the profit made per conference attendee per month is $19. What mix of conference attendees and tourists should the center aim for to maximize the profit and what is the maximum profit? Formulate an LP model for this problem and report the model in the box below. Your model must include clearly defined decision variables, an objective function, and the required constraints.

At a student café, there are equal numbers of two types of customers with the following values. the café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate). students with early classes students without early classes coffee 70 60 banana 51 101 the marginal cost of coffee is 10 and the marginal cost of a banana is 40. the café owner is considering three pricing strategies: 1. mixed bundling: price bundle of coffee and a banana for 161, or just a coffee for 70. 2. price separately: offer coffee at 60, price a banana at 101. 3. bundle only: coffee and a banana for 121. do not offer goods separately. assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. for simplicity, assume there is just one student with an early class, and one student without an early class. price strategy revenue from pricing strategy cost from pricing strategy profit from pricing strategy 1. mixed bundling $ $ $ 2. price separately $ $ $ 3. bundle only $ $ $ pricing strategy yields the highest profit for the café owner.