It is possible to hire apprentice workers who will need to be trained. For training, up to three apprentices are assigned to a single worker for one week. During this week, the worker produces no radios. After the week all of the apprentices graduate to workers and begin to produce radios. There is no limit to the number of apprentices to hire aside that every group of three apprentices require an additional worker to train them. A worker costs 200 euros per week while an apprentice costs only 100. Let x; be the number of workers assigned to production of radios in week i, yi be the number of workers assigned to train new apprentices in week i, and z; be the number of apprentices to hire in week i. Use these variables to formulate a linear program which will maximize profit over the four weeks in question. Solve

4) The time a basketball player spends in the air when shooting a basket is called the​ "hang time." The vertical leap L measured in feet is related to the hang time t measured in seconds by the equation L=4t2. Suppose that a basketball player has a vertical leap of 3 feet 7 inches. Find the hang time for this leap.