For a school fundraiser, Elena will make T-shirts. She will order T-shirts and print graphics on them. Elena must spend $349 on a printing machine and $4.80 per shirt for the blank shirts, ink, and other supplies.

a. Complete the table giving the total cost Elena will spend to make each specific number of T-shirts.

number of shirts cost in dollars
20
40
60
b. Write an expression for the cost of making n T-shirts.

c. What is the maximum number of T-shirts Elena can make with a budget of $1,000?

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.)