The department of health in the united kingdom wants to know whether the healthcare system is achieving its goals in scotland. much information about healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. therefore, the department of health conducted the scotland health survey, which was used to interview a random sample of 34,572 people who live in scotland. part a: what is the population for this sample survey? what is the sample? (4 points) part b: the survey found that 70% of males and 87% of females in the sample had visited a general practitioner at least once during the past year. do you think these estimates are close to the truth about the entire population? explain. (6 points)

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.)