11. Higher Order Thinking All the workers in a company were asked a survey question. The two-way frequency table
shows the responses from the workers in the day shift and
night shift
a. Construct a two-way relative frequency table to show
the relative frequencies with respect to the shift.
Two-Way Frequency Table
Response
Yes No Total
Day 68 32 100
22 78 100
Total 90 110 200
Night
Response
No
Yes
Total
Day
%
%
%
Night
%
%
%
Total
%
%
%
b. Is there evidence of an association between the response
and the shift? Explain.

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.)