Hannah and Brandon are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Hannah is 220 miles away from the stadium
and Brandon is 340 miles away from the stadium. Hannah is driving along the
highway at a speed of 30 miles per hour and Brandon is driving at speed of 50 miles
per hour. Let H represent Hannah's distance, in miles, away from the stadium t
hours after noon. Let B represent Brandon's distance, in miles, away from the
stadium t hours after noon. Graph each function and determine the number hours
after noon, t, when Hannah and Brandon are the same distance from the stadium.
Click twice to plot each line. Click a line to delete it.
400
380

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.)