Sierra has budgeted $103 a month for entertainment expenses, such as movies, concerts, and sporting events. By the end of the second week of July, she had already spent $63 on entertainment expenses. She plans to only go to movies for her entertainment in the last two weeks of July, and the theater she goes to charges $8 per ticket. If she wants to stay at or under budget, and x represents the number of tickets to the movies she can buy, which of the following inequalities symbolizes this situation? A.
$8x + $63 < $103
B.
$63x + $8 > $103
C.
$8x + $63 > $103
D.
$63x + $8 < $103

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.)