One weekend, 156 students went to see a movie at the local
theater. Their popcorn and drink purchases were recorded in the
two-way table shown.

Total
123
33
156

Popcorn
56
24
80

No Popcorn
67
76

Drink
56
67
123

No Drink
24
9
33

Total
80
76
156

What is the relative frequency, rounded to the nearest tenth of a
percent, of students who purchased popcorn?

What is the solution to this system of equations? y= 2x - 3.5 x - 2y = -14

Due to bad planning, two of the local schools have their annual plays on the same weekend. while 457 people attend one, and 372 attend the other, only 104 people were able to attend both. how many people went to at least one play?

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.)