An elevator has a placard stating that the maximum capacity is 1610 passengers. so, 10 adult male passengers can have a mean weight of up to1610 divided by 10 = 161 pounds. if the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than161lb. (assume that weights of males are normally distributed with a mean of 165 lb and a standard deviation of 35 lb.)does this elevator appear to be safe? the probability the elevator is overloaded is? (round to four decimal places as needed.)

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.)