3 Fiona has a goal to ride her bike at a constant speed for 2 hours. To see if she is meeting her goal, she plans to check her distance at 1, 1.5, and 2 hours. She makes a graph to see what these distances
should be. Label the x-axis starting at 0 and going by 5's. Label the y-axis starting at 0 and counting
by 3's. Plot the point (1,6) on the graph. What points should she plot for 1.5 and 2 hours? Explain
your thinking. Remember to label your axes with both numbers and words.

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.)