M).
the table below shows the numbers of tickets sold at a movie theater on friday.
number of tickets sold
day
adult tickets
children's
tickets
976
1,678
friday
saturday
the number of each type of ticket sold on saturday is described below.
• adult tickets-2 times as many as the number of adult tickets sold
on friday
• children's tickets-3 times as many as the number of children's
tickets sold on friday
complete the table above to show the numbers of tickets sold on saturday.
what is the total number of tickets sold over these two days?

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.)