To illustrate the effects of driving under the influence​ (D…

To illustrate the effects of driving under the influence​ (DUI) of​ alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine​ teenagers, the time​ (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Screen Shot 2020-11-03 at 2.57.43 PM(1).png Picture1(3).png   Review the provided output. Do you believe a paired t-test is valid? Use 1% level of significance. Review for Exam2.docx

UrbanEats is a popular restaurant brand known for its creati…

UrbanEats is a popular restaurant brand known for its creative street food. The company has been operating a single flagship location but now plans to expand across the city. As UrbanEats’ Operations Manager, you need to decide on an expansion strategy for the upcoming year. You have three expansion options: Small Expansion: Open one new location. Medium Expansion: Open two new locations. Large Expansion: Open five new locations. Depending on the market condition, whether the economy is flourishing, stable, or in recession, your expansion will result in a profit or loss. You must select your strategy before the market condition is known, and you must stick with it for the full year. The table below summarizes the profit or loss (in thousands of dollars) for each strategy under each market condition: Strategy Flourish Market Stable Market Recession Market Small Expansion +100 +50 -20 Medium Expansion +200 +60 -60 Large Expansion +350 +40 -150 Answer the following questions: What is the maximax strategy? Justify your answer. (5 points) What is the maximin strategy? Justify your answer. (5 points) Hint. Canvas allows you to draw tables; however, if you find it difficult during the exam, that is totally fine. You can simply explain your justification in words for all two questions A and B instead of drawing tables.

You work as a customer support agent for a popular online st…

You work as a customer support agent for a popular online streaming platform. Your job is to help customers who are unable to log into their streaming account after multiple failed login attempts. You can try up to three different troubleshooting steps to help them. After each (possibly failed) attempt, you also have the option of escalating the case to the Tier 2 Support Team. At the start of every support chat, you first verify the customer’s identity and guide them to reset their password using the “Forgot Password” link. This takes 6 minutes and works 30% of the time. If this attempt fails, you must decide what to do next. You can either escalate the issue or generate and email the customer a manual temporary login link. Sending the temporary link takes 4 minutes and works 50% of the time. If this still does not work, you can escalate the issue or remotely assist the customer through a screen-sharing session, where you check for saved password conflicts, clear the browser cache, or test device compatibility. This advanced troubleshooting takes 20 minutes and succeeds 100% of the time. The platform’s compensation model is performance-based. Instead of being paid hourly, you are paid/charged solely based on outcomes, that is, Each time you successfully help a customer log back into their account, you earn $5.00. Each time you escalate the issue to Tier 2 Support, you are charged $1.00. To simplify, let us assume you are comparing three policies where you follow the same decision-making rule every time (so we only need to analyze one case since you apply the policy consistently): Policy 1: Only try step 1; if it fails, escalate the case. Policy 2: Try up to steps 1 and 2; if step 2 fails, escalate the case. Policy 3: Try all three steps; since step 3 always succeeds, escalation is not needed under this policy. Answer the following questions: Which policy maximizes your expected profit per customer? What is the expected profit per customer (in dollars) under this policy? (5 points) Which policy minimizes your expected time spent handling each customer? What is the expected time (in minutes) spent handling each customer under this policy? (5 points) Which policy maximizes your expected profit per minute? What is the profit per minute you earn under this policy? (5 points)

A cargo airplane has a compartment for storing cargo.  This…

A cargo airplane has a compartment for storing cargo.  This compartment has a weight capacity of 27 tons and a space capacity of 16,000 tons. The following four cargo types have been offered for shipment on an upcoming flight as space is available: Cargo Weight (tons) Volume (cu ft)/ton Profit  ($/ton) Apparel 14 500 100 Electronics 10 700 130 Hardware 18 600 105 Supplies 9 400 90 For example, there are up to 14 tons of apparel available, each ton takes up 500 cubic feet, and earns $100 in profit. Any portion of each of these cargoes can be accepted. The objective is to determine how much of each cargo type should be accepted to maximize the total profit for the flight. Use the GOMP to define your model in words, including the objective, decision variables, and constraints. (10 points) Use the GOMP to formulate your model mathematically, including the decision variables, objective function, and constraints. (10 points) Now suppose there is a fixed cost of $200 for each cargo type loaded—meaning that if any amount of a cargo type is accepted, the cost is incurred; otherwise, it is not. Reformulate your mathematical model to reflect this. You do not need to rewrite the full GOMP from parts (1) and (2); instead, introduce any new decision variables, update the objective function, and include the necessary constraints to capture this fixed cost condition. (7 points) In addition to the fixed costs in part (3), suppose you are required to take on at least two types of cargo, but no more than three. What new constraints would you add to the mathematical model in part (3) to reflect this requirement? Write the new constraints mathematically. (3 points)

You are the operations manager for QuickFix Electronics, whi…

You are the operations manager for QuickFix Electronics, which provides nationwide technical support for home electronics. Currently, you have exactly the right number of customer service agents to handle all inquiries without delays. However, in one month, five of your current agents will be leaving the company, which will create a staffing shortage unless you hire replacements. Your task is to decide how many job offers to extend to potential new agents. This decision is important because not every candidate will accept the offer, as each one has a 35% chance of declining. Therefore, the more offers you make, the higher the chance of filling all five vacant positions and avoiding a shortage. Each agent who accepts your offer will receive a salary of $5,500 per month. If you do not have enough agents after hiring, your service center will be understaffed, causing longer customer wait times. This leads to dissatisfaction and potential loss of business. QuickFix has estimated the monthly cost of customer dissatisfaction based on how many agents you are short, as follows: Staffing Shortage Customer Dissatisfaction Cost 0 $0 1 $10,000 2 $20,000 3 $40,000 4 $60,000 5 $90,000 Your goal is to minimize the total expected monthly cost, which includes the salary paid to any new agents you hire and the expected customer dissatisfaction costs. Answer the following questions: Develop a descriptive model that represents the combined monthly salary cost and expected customer dissatisfaction cost. (10 points) Clearly define the random variable involved in your model and specify its distribution and parameters. (5 points)