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- Betty runs a toy store. Each toy costs Betty $4 and sells for $10 (so the gross profit per unit sold is $6). Daily demand varies according to the following table: Demand Probability 90 0.64 100 0.24 110 0.12 At the beginning of every day, Betty replenishes shelves with 100 toys (i.e., there are 100 toys for sale every day). If daily demand is less than 100, an inventory holding cost of $0.10 is charged for each toy that is not sold. However, if daily demand is greater than 100, a stockout occurs, and a shortage cost of $0.90 is charged for each unit of demand that cannot be satisfied. Unsatisfied demand is lost. (a) Set up intervals of random numbers that can be used to simulate daily demand. (b) Sketch a simulation table and perform a simulation for 9 days. Use the random numbers 0.76, 0.26, 0.77, 0.57, 0.87, 0.35, 0.50, 0.56, and 0.90 to generate simulated values for daily demand for those 9 days. Based on this sample of 9 days, what is the average daily net profit and service level…You have two types of buyers for your product. Forty percent of buyers value your product at $10 and sixty percent value it at $6. What price maximizes your expected revenue? Group of answer choices $7.60. $6. $3.60. $8. $10.Problem 1. A new edition of a very popular textbook will be published a year from now. The publisher currently has 2000 copies on hand and is deciding whether to do another printing before the new edition comes out. The publisher estimates that demand for the book during the next year is governed by the probability distribution on the image . A production run incurs a fixed cost of $10,000 plus a variable cost of $15 per book printed. Books are sold for $130 per book. Any demand that cannot be met incurs a penalty cost of $20 per book, due to loss of goodwill. Up to 500 of any leftover books can be sold to Barnes & Noble for $35 per book. The publisher is interested in maximizing expected profit. The following print- run sizes are under consideration: 0 (no production run) to 16,000 in increments of 2000. What decision would you recommend? Use simulation with 1000 replications. For your optimal decision, the publisher can be 90% certain that the actual profit associated with…
- Explain probability and nonprobability samplingtechniques.EXAMPLE 18.3 Micro Pizza Heater: Market Demand A factory renovation is needed to build a compact microwave with a new shape, which will be called the Micro Pizza Heater. The low sales-volume prediction (20,000 heaters per year) has a subjectively estimated probability of 30%. The most likely market prediction is 30,000 units sold per year. The optimistic market prediction (30,000 sold the first year, with annual increases of 5000) has a subjectively estimated probability of 10%. In all cases, the factory equipment and the market will last 5 years. The net revenue will be $10 per microwave. What is the probability distribution for the net revenue?the probability of reaching the wrong conclusion to 0.05 the probability of a Type II error equal to 0.05 the probability of reaching the correct conclusion equal to 0.05 the probability of a Type I error equal to 0.05 attached in ss below thanks
- VD A national sports network offers a community a chance to join a pro team The winner of the tryouts takes home the prize but the others (losers) gain nothing. There are 10 persons in the village that could tryout. Each person will decide to join the game if the expected value of the game is higher than $40,000. This type of problem is often called “the winner takes all.” Hint: complete the table first. Expected value of tryout = (Prize of the tryout) / (number of persons trying out) = expected prize Income to the community = prize money + income of all persons who did not try out Number of contestants prize if tryout is held Income to a person if they stay at home Expected prize for a person Income of persons who did not tryout Total Income to the community 0 $0.00 $40,000 $0 $400,000 $400,000 1 $180,000.00 $40,000 $180,000 $360,000 $540,000 2 $190,000.00 $40,000 3 $205,000.00 $40,000 4…A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 150−0.01 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $50,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved if the maximum expected demand is 6,000 units per year? What is the unit price at this point of optimal demand?RISK ANALYSIS A financial investor builds a portfolio that is worth an expected £35mil. The investor knows that his analysts can build a model to boost the potential return from the portfolio investment. The additional return has a Normal Distribution with mean £3mil and standard deviation £0.5mil. The investor wishes to sell his financial services at a price that guarantees his expected profit will be 5% of the total return from the portfolio. What should the price of his financial service be? Simulate (with a min of 200 repetitions) the average and the standard deviation of the profit the financial advisor realizes when setting the price for his services between 1% and 10% of the total expected return from the portfolio. Then discuss your findings.
- Company X has been unable to keep up with customer demands for product Y. They are considering two options. The first is to replace the existing tooling machine with a new machine or start a second shift to increase throughput. The cost of the new machine is $500,000. The cost of ramping up the second shift is 150,000. With the new machine option, there is a 60 percent opportunity of generating 750,000 in revenue. There is also a 40 percent opportunity of making $200 in revenue. With the second shift option, there is a 50 percent opportunity to generate $400,000 of revenue and a 50 percent opportunity to generate $100,000 of revenue. Which option would you recommend?An automobile dealership offers to fill the four tires of your new car with 100% nitrogen for a cost of $20. The dealership claims that nitrogen-filled tires run cooler than those filled with compressed air, and they advertise that nitrogen extends tire mileage (life) by 25%. If new tires cost $50 each and are guaranteed to get 50,000 miles (filled with air) before they require replacement, is the dealership’s offer a good deal?Give me correct and accurate answer otherwise i give downvote Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.