Fahrenheit temperature f is a linear function of celsius temperature c. the ordered pair left parenthesis 0 comma 32 right parenthesis(0,32) is an ordered pair of this function because 0°c is equivalent to 32 degrees upper f32°f, the freezing point of water. the ordered pair left parenthesis 100 comma 212 right parenthesis(100,212) is also an ordered pair of this function because 100 degrees upper c100°c is equivalent to 212 degrees upper f212°f, the boiling point of water. use the two given points and the point-slope formula to write f as a function of c. find the fahrenheit temperature of an oven at 130 degrees upper c130°c.

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.)