Leslie, Marjan and Lizzy & Derrick decide to come out of retirement from their Big Race tricycle days for a unicycle race. Having won the one na Big Race, Leslie is given a 6-meter head start and rides at a speed of 2 meters per second. Marjan is given a 1-meter head start and catcup
with Leslie after 5 seconds. Lizzy pedals twice as fast as Leslie and begins the race at the starting line. Derrick also begins at the start ng line
but pedals 5 meters every 2 seconds.
a. What is the equation for Leslie's race?
b. What is the equation for Mark's race?
c. What is the equation for Lizzy's race?
d. What is the equation for Derrick's race?
d. Who was traveling the fastest?

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.)