Question Use Johnson's Rule to determine the optimum processing sequence for the jobs listed below. 1. Determine the optimum process sequence 2. What time is Job B completed on Work Centre 1? 3. What time is Job B completed on Work Centre 2? An answer must be provided in the answer box to receive credit. You must show your work to receive credit. Processing Time (minutes) Job Centre 1 Centre 2 A 20 12 B 10 32 C 8 9 D 14 7 E 5 6 F 18 6 Optimum Sequence – Work Centre #1 Optimum Sequence – Work Centre #2 Work Centre #1 Work Centre #2 Job B completed (Minutes)

Suppose that a company is developing a new touch-screen cell phone. Historically, 70% of their new phones have resulted in high consumer demand, whereas 30% have resulted in low consumer demand. The company has the decision of choosing between two models with different features that require different amount of investment and have different sales potential. Estimated profit/loss are shown in the payoff table below. State of Nature High demand, ($) Low demand, ($) Model 1 300,000 -40,000 Model 2 275,000 -15000 Now suppose the firm conducts a market research study to obtain sample information and better understand the nature of consumer demand. The market research cost $10,000 Analysis of past market research studies, conducted prior to introducing similar products, has found that the survey response will be either high or low. There is a 69% chance that the survey will return a high survey response (results) and there is a 31% chance that the survey will result in lo-demand response (results). The relevant conditional probabilities are as follows: P (high consumer demand, high survey response = 0.913) P (low consumer demand, low survey response = 0.087) P (high consumer demand, high survey response = 0.226) P (low consumer demand, low survey response = 0.774) Calculate the expected value of sample information (EVSI). Develop a decision tree and analyze using QM for Windows. Determine the optimal solution.

Question Suppose three point masses are placed in the xy-plane as follows (assume coordinates are given in meters): mi = 5 kg, placed at (-2, -3) m2 = 3 kg, placed at (2,3) 'm3 = 2 kg, placed at (-3, -2) Find the center of mass of the system. Write your answer as an ordered pair Provide your answer below:

let f(x)= x^2-5, g(x)= 2x^3+x and p(x)= f(x)g(x). a) computedp/dx b) compute f'(x)g'(x)

10. A box is lying on top of a trailer, which is parked on the road. According to Newton's third law, what is the reaction force to the gravitational pull of the box on the trailer? The normal force of the trailer on the box The gravitational pull of the trailer on the box The gravitational pull of the trailer on Earth The normal force of the road on the trailer The weight of the trailer The normal force of the trailer on the road The gravitational pull of the box on Earth The weight of the box

2.31 Let R be the region bounded above by the graph of the function f(x) = ?? and below by the x-axis over the interval (0,2] . Find the centroid of the region. 2.32 Let R be the region bounded above by the graph of the function f(x) = 6 - 2² and below by the graph of the function g(x) = 3 - 2x. Find the centroid of the region. 2.33 Let R be the region bounded above by the graph of the function f(x) = 1-2 and below by r -axis. Find the centroid of the region.

The Super Cola Company must decide whether or not to introduce a new diet soft drink. Management feels that if it does introduce the diet soda it will yield a profit of $1 million if sales are around 100 million, a profit of $200,000 if sales are around 50 million, or it will lose $2 million if sales are only around 1 million bottles. If Super Cola does not market the new diet soda, it will suffer a loss of $400,000. Construct a payoff table for this problem. Construct a regret table for this problem. Should Super Cola introduce the soda if the company: (1) is conservative; (2) is optimistic: (3) wants to minimize its maximum disappointment? d. An internal marketing research study has found P(100 million in sales) - 1/3; P(50 million in sales) - 1/2; P(1 million in sales) = 1/6. Should Super Cola introduce the new diet soda? A consulting firm can perform a more thorough study for $275,000. Should management have this study performed? TOPIC: : Decision making with and without probabilities a. b. C.