Ryan looks across the forest a distance of 146 meters and sees his brother, Matt, hiding. Ryan signals toward Matt, "Only one remains." Matt nods in acknowledgement, spotting the last evil robot. Matt quickly looks back and forth between Ryan and the robot. From Matt's view, the angle between Ryan and the robot is a 34°. From Ryan's view, the angle between Matt and the robot is 120°. How far should Ryan calibrate his laser cannon to shoot so that he can hit the robot?

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.)