STRUCTURE Gustavo sets up tables for a caterer on weekends . Each round table can seat 8 people . Each rectangular table can seat 10 people . One weekend , his boss asked him to set up tables for 124 people . He uses 2 more round tables than rectangular tables . Write a system of equations to find the number of round tables and rectangular tables Gustavo used . Then graph the system on a separate sheet of paper to solve the system . Let x = the number of round tables and let y = the number of rectangular tables .

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.)