A hotel is deciding how many reservations to accept for major one-night event in Indianapolis. The hotel has 180 rooms available. Managers believe that 92 percent of those with a reservation will actually show up. An empty room costs the hotel $175 per room. However, if the hotel oversells the rooms, and more than 180 customers show up, the hotel will need to make other arrangements for these guests. The cost of placing these extra guests in other accomodations is $375 per room needed. How many rooms should the hotel sell for this particular night to minimize their costs? +xls

$527.7.if the following was the question  $527.7 is the answer.students who are trying to raise funds have an agreement with a local pizza chain. the chain has agreed to sell them pizzas at a discount, which the students can then resell to families in the local community for a profit. it is expected that of the 500 families in the community, at most 70% will buy pizza. based on a survey of their personal preferences, the students believe that they should order no more than 120 cheese pizzas, no more than 150 pepperoni pizzas, and no more than 100 vegetarian pizzas. they also want to make sure that at least 20% of the total pizzas are cheese and at least 50% of the pizzas are pepperoni. they make a profit of $1.45, $1.75, and $1.98, respectively, for each cheese, pepperoni, and vegetarian pizza they resell. how many pizzas of each type should they buy?