Sarah took the advertising department from her company on a round trip to meet with a potential client. including sarah, a total of 17 people took the trip. she was able to purchase coach tickets for $270 and first-class tickets for $1140. she used her total budget for airfare for the trip, which was $12,420 how many first-class tickets did she buy? how many coach tickets did she buy?

Plot a point at the y-intercept of the following function on the provided graph. 3y=-5x+7 20 points

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)