1. Barney has 3 pairs of shorts and 4 different shirts. Use a tree diagram to find the number of possible ways Barney can wear his shorts and shirts. 2. The nutrition label on a bag of toasted corn kernels states that one serving contains 170 milligrams of sodium which is 7% of the daily value recommended for a 2000- calorie diet. Find the total number of milligrams of sodium recommended for a 2000- calorie diet. Round your answer to the nearest whole unit.

3.

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.)