You are part of a contest on the TV show "Brain Teaser". You are searching for a key to unlock a "Safe Card" that will save you from being killed on this
week's episode. The writer for
this week's show is a mathematician! Your clues
relate to a coordinate map. What are the coordinates for the location of the of the key?
key?
Here are the three clues you have found:
Clue 1
Clue 2
Clue 3
Start at (4,3).
Move to image
after translation:
(x, y)--(x - 8,y+4)
Now, reflect
your answer
over the
X-axis.
Now,
rotate 90°
counterclockwise
to find the key

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.)