Question:
Carlos purchased a leather sofa four years ago for $1,500.00. Since he purchased it, its value has been decreasing by 30% per
year.
A. Find the missing values for the table shown.
B. Explain how you found each of the missing values in the table.
C. Write an expression in the form a(b) that represents the value of the sofa in dollars t years after Carlos purchased it. Then
test your expression for t = 0, 1, 2, 3, and 4. Show your work.

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.)