answer both pls

7) [2 points] This Question is related to Module A section Decision Trees) A toy manufacturer makes stuffed kittens and puppies that have relatively lifelike motions. There are three different mechanisms which can be installed in these "pets." These toys will sell for the same price regardless of the mechanism installed, but each mechanism has its own variable cost and setup cost. Profit, therefore, is dependent upon the choice of mechanism and upon the level of demand. The manufacturer has in hand a forecast of demand that suggests a 0.2 probability of light demand, a 0.45 probability of moderate demand, and a probability of 0.35 of heavy demand. Payoffs for each mechanism-demand combination appear in the table below. Demand Wind-up action Pneumatic action Electronic action Light $250,000 $90,000 -$100,000 Moderate 400,000 440,000 400,000 Heavy 650,000 740,000 780,000 Construct the appropriate decision tree to analyze this problem. Use standard symbols for the tree. Analyze the tree to select the optimal decision for the manufacturer. 8) [1 point] This Question is related to Chapter 9 section Process-Oriented Layout) There are three work centers (A, B, and C) behind the financial aid counter at a nearby university. They can each fit into any of three office spaces (1, 2, and 3) off the corridor behind the desk. There is no student contact in these areas, only workers. The distance 1-2 is 20 feet, 2-3 is 40 feet, and 1-3 is 60 feet. The matrix of work (trips per day) at the three centers are shown in the following table. Assume that each trip must be a round-trip (from 1 to 2 and back, for example). A B C A 20 30 B 35 25 30 10 (a) How many possible assignments are there? List them. (b) Calculate the total distance traveled in each of these assignments. (c) Which assignment minimizes distance traveled