There are 1450 students at your school. The principal wants to get an idea of what kinds of programs she wants to offer for extra help and enrichment. She wants to survey 200 students. She first divides the students into groups by average grade on the report card. - 400 students had an average grade of A
- 485 students had an average grade of B
- 325 students had an average grade of C
- 170 students had an average grade of D
- 70 students had an average grade of F
Population: A:400 B:485 C:325 D:170 F:70
Determine how many of each group she should survey if she wants to do a stratified random sampling.

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.)