Select the correct location on the graph. paisley is playing with a yo-yo. the following graph traces the path of the yo-yo while it is in the air, where y is the height of the yo-yo above the ground, and x is the time, in seconds, from when the yo-yo leaves paisley's hand. five stages of the yo-yo's path are marked on the graph. which of the five stages shows the slowest rate of change in the yo-yo's height above the ground?

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.)