From the result that you have obtained using the trapezoidal rule, it is worth it to buy the pills? А. Yes В. No
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- If you perform your break-even analysis and there is more than one solution, explain how you would determine which x-values are profit and which are not.4 Amid the holiday grocery shopping madness, every line feels like the wrong one. And yet, some are wronger than others. Given equally capable cashiers, you are often better off bypassing the express lane. Research conducted at a large, unnamed, California grocery store found that while each item adds 3 seconds to the check-out time, it takes 41 seconds for a person to move through the line even before items are added to the tally. Bottom line: the big time-consumers are not the items, but the small talk and the paying. says Dan Meyer, who has a doctorate in math education from Stanford University:" (R224) Suppose you have 10 items in your cart, so you are allowed to use the express lane. How much longer must the line there be (compared to the regular lane) to make the wait in the regular lane less? You can answer that question with any strategy that makes sense to you, as long as you explain what you're thinking. If you need a starting place, one way is to use (a) Write the linear…Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The manager of this plant is under pressure from a local union to increase the amount of paid time off. However, he does not want to give more days off to the workers because that would be costly. Instead he decides he should fire 10 employees in such a way as to raise the average number of days off that are reported by his employees. In order to achieve this goal, should he fire employees who have the most number of days off, least number of days off, or those who have about the average number of days off? a. He should fire employees who have the most number of days off. b. No matter who he fires, it will not increase the amount of paid time off. c. He should fire employees who have the average number of days off. d. He should fire employees who have the least number of days off.
- Zimlick, Inc, a US pasta-machine manufacturer, is considering a $2.1 million device from United Technologies Corporation to automate pasta-machine quality inspection. The device will be depreciated according to the straight-line method over three years. The useful life of the device is 5 years, with an estimated sale value at year 5 of $300,000. The project will allow less pasta machines to be scrapped because of low quality, generating pretax earnings of $900,000 per year, and will not change the risk level of the firm. Zimlick’s cost of capital is 18%. The tax rate is 30%. Q1. Show a forecast of the cash flows for the project Q2. What is the net present value of the project? Q3. What is the IRR of the project? Q4. Would you undertake the investment? Why or why not?I have got the answer, but I still doubt my answer, can you explain it in stages!The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 5 boats per hour and that the service rate for each server is 10 boats per hour. What is the average time a boat will spend waiting for service? What is the average time a boat will spend at the dock? If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing Why or why not?
- A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B). Complete these calculations by hand, label each of them, and…You decided to buy your friend an ice cream for lunch at your favorite upscale ice cream parlor about ten miles away from the office. It was wintertime, and you noticed for the first time just how many local ice cream restaurants and stands there were in your area. Funny, they were almost all closed during the winter months. Despite the cold weather you had to wait a couple minutes for a table to clear at the parlor. You mention to an employee that you must have hit a busy day, but they respond that it’s not unusually busy today. You start to think about the conversation you had earlier with the Sr. VP, and you wonder if he or you, or anyone at your client firm really understands the local market at all. You are not really sure if sales locally will be any different than in Southwestern markets. Show a design that reflects this line of thought. Show an experimental design, which includes, at a minimum: a) Indicate whether this is a one-tail or two-tail test, and why. Sketch the…A restaurant frequently offers a special prix fixe meal and has been charging $160 per person for the event. At that price, they’ve been averaging 30 customers each time. Their marketing firm has convinced them that they’ll gain a customer for every dollar they lower the cost of the event, and conversely lose a customer for every dollar they raise the cost. Their fixed cost per event is $2600 and preparing each customer’s meal costs an additional $40. What are the break-even points in terms of customers served?
- The state of Georgia is considering spending $350 million on a computerized mathematics curriculum that for grades 3 – 10. They pilot the program with 250 students in grades 5 and 6 whose end-of-course test scores are compared to the state average score of 150 to see whether the program has been effective (being more than the average score). If we are testing the Type I error and Type II error in context of the problem is: Type I error: ["", "", "", ""] choices; The number of students in the pilot is in fact 250 but the state of Georgia reject it wrongfully,,, The math curriculum is in fact piloted with 250 students, but the state of Georgia reject it ,,,The end of course test scores are in fact 150 but the state of Georgia wrongfully state that the program is effective ,,,,The average amount spent is in fact $350 million but the state of Georgia reject it Type II error: ["", "", "", ""] choices The average scores of the graders is in fact more than 150but the…Kathleen Taylor is a high school student who has been investigating the possibility of mowing lawns for a summer job. She has a couple of friends she thinks she could hire on an hourly basis per job. The equipment, including two new lawnmowers and weed-eaters, would cost her $500, and she estimates her cost per lawn, based on the time required to pay her friends to mow an average residential lawn (and not including her own labor) and gas for driving to the jobs and mowing, would be about $14. a) If she charges customers $30 per lawn, how many lawns would she need to mow to break even? b) Kathleen has 8 weeks available to mow lawns before school starts again, and she estimates that she can get enough customers to mow at least three lawns per day, 6 days per week. How much money can she expect to make over the summer? c) Kathleen believes she can get more business if she lowers her price per lawn. If she lowers her price to $25 per lawn and increases her number of jobs to four per day…In order to make it very clear for her client, Jedda put together the following table for both options. Complete the necessary calculations (showing all your work) in order to complete the table.