for The time required Motive center to complete an oid change service on an auto- Mobile approximatly follows a normal distribution, with a mean of 17 Minutes and STD of 2 minutes. a) The center guarantees constamers that the service will take no longer than 20 minutes. If it does take longer, the customer will recieve half- Price. What percent of customers recieve the service half price? an auto-

In August of the current year, a car dealer istrying to evaluate the monthly profitability. Below isinformation the car dealer observed based on historical data:• The ordering cost of carsfollows a triangular distribution, with a minimum cost of $5,000,a maximum cost of $17,000, and most likely to be $11,000.• The monthly demand for the dealer’s cars is normally distributed with mean of 50 andstandard deviation of 10 (use an excel function to round the sales quantity to the nearestinteger).• Depending on the model and year, the dealer sets the selling price of each car followinga uniform distribution between $8,000 and $30,000. Assume that there is no associationbetween each car’s ordering cost and selling price.• In addition, the dealer expends $100,000 every month on the employees’ salary.(2) Build a profit model for this car dealer that incorporates the uncertainties in selling price,ordering cost, and sales quantity. (Hint: Use the Uncertain Profit example as a template,BUT there…

The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 19 minutes and a standard deviation of 3 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 3% of its customers, how long should it make the guaranteed time limit? Question Help v (a) The percent of customers that receive the service for half-price is %. (Round to two decimal places as needed.) (b) The guaranteed time limit is minutes. (Round up to the nearest integer as needed.) Enter your answer in each of the answer boxes. 1:20 PM P Type here to search AD4 d0E ENG 3/21/2021 DELL PgUp Delete PrtScr Insert F11 F12 F10 F9 F7 F8 F6 F4 F5 F2 F3 A Backspace Esc F1 &…

An auto parts detailer uses a 5-week periodic review system to replenish its inventory stocks. The lead time is assumed to be 1 week since an order is placed to its receipt. The demand for an auto part during the 6 weeks (review period and lead time) is observed to be normally distributed with and mean of 200 units with a standard deviation of 5 units. If the manager places an order of 30 units with no other stocks for this product in-hand, what is provability that there will be stock out prior to the arrival of the replenishment? Round to 3-decimal places O a. None is correct O b. 0.023 O c. 0.421 O d. 0.500 O e. 0.726