(Main Line Auto Distributor) Main Line Auto Distributor is an auto parts supplier to local garage…

(Main Line Auto Distributor) Main Line Auto Distributor is an auto magnitude supplier to national garage shops. None of its customers accept the immeasurableness or cardinal to ammunition all of the practictelling magnitude they potentiality want so they classify magnitude from Main Line separate times a day. To contribute dissipated labor, Main Line uses three pickup trucks to form its own deliveries. Each Friday waning, Main Line classifys additional schedule from its supplier. The supplier delivers coming Monday early. Delivery consumes are telling, so Main Line barely classifys on Fridays. Consider disunite A153QR, or disunite A for abrupt. Disunite A consumes Main Line \$175 and Main Line sells it to garages for \$200. If a garage classifys disunite A and Main Line is out of supply, then the garage finds the disunite from some other distributor. Main Line has its own cardinal and immeasurableness constraints and estimates that each individual of disunite A consumes \$0.50 to hinder in schedule per week. (Assume you run the \$0.50 consume for individuals left in schedule at the end of the week, not \$0.50 for your average schedule during the week or \$0.50 for your schedule at the set-out of the week.) Average weekly call-for for this disunite follows a Poisson dispensation delay average 1.5 individuals. Suppose it is Friday waning and Main Line currently doesn’t accept any disunite A’s in supply. The dispensation and mislaying functions for a Poisson dispensation delay average 1.5 can be build in Appendix B.

a. How divers disunite A’s should Main Line classify from the supplier? [16.2]

b. Suppose Main Line classifys three individuals. What is the chance Main Line is telling to assure all call-for during the week? [16.5]

c. Suppose Main Line classifys filthy individuals. What is the chance Main Line is not telling to assure all call-for during the week? [16.5]

d. If Main Line seeks to hit a target in-supply chance of 99.5 percent, then how divers individuals should Main Line classify? [16.6]

e. Suppose Main Line classifys five individuals. What is Main Line’s expected hindering consume for the upcoming week? [16.5]