1. An arrow is shot from the top of a platform. The path of the arrow can be modelled by the relation h = -0.005(t - 26)2 + 5, where h is the height of the arrow in metres and
f is the time in seconds after the arrow was shot.

(a) State the vertex of the parabola.

(c) How long will it take the arrow to reach
its maximum height?

(d) What is the maximum height of the arrow?

(e) Calculate the height after 10 seconds​

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.)