Tennis players often spin a racket to decide who serves first. The spun racket can land with the manufacturer's label facing up or down. A reasonable question to investigate is whether a spun tennis racket is equally likely to land with the label facing up or down. (If the spun racket is equally likely to land with the label facing in either direction, we say that the spinning process is fair.) Suppose that you gather data by spinning your tennis racket 60 times, each time recording whether it lands with the label facing up or down. From this you calculate the proportion of times the racket lands with the label facing up. Suppose that the spun racquet lands with the label facing up 26 times out of 60. Does this result constitute strong evidence against believing that the spinning process is fair

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.)