Three sides of a fence and an existing wall form a rectangular enclosure. the total length of a fence used for the three sides is 240 ft. let x be the length of two sides perpendicular to the wall as shown. write an equation of area a of the enclosure as a function of the length x of the rectangular area. then find the value(s) of x for which the area is 5500 ft^2.
i i x i i x existing wall x is the shorter wall. the existing wall is longer than the one across from it, i tried to make it look like that in the picture.

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.)