The olde town microbrewery makes townside beer, which it bottles and sells in its adjoining restaurant and by the case. it costs $1700 to set up, brew, and bottle a batch of the beer. the annual cost to store the beer in inventory is $1.25 per bottle. the annual demand for the beer is 21,000 bottles and the brewery has the capacity to produce 30,000 bottles annually.
a. determine the optimal order quantity, total annual inventory cost, the number of production runs per year, and the maximum inventory level.
b. if the microbrewery has only enough storage space to hold a maximum of 2500 bottles of beer in inventory, how will that affect total inventory costs?

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

The wall street journal reported that walmart stores inc. is planning to lay off 2,300 employees at its sam's club warehouse unit. approximately half of the layoffs will be hourly employees (the wall street journal, january 25-26, 2014). suppose the following data represent the percentage of hourly employees laid off for 15 sam's club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 (a) compute the mean and median percentage of hourly employees being laid off at these stores. (b) compute the first and third quartiles. (c) compute the range and interquartile range. (d) compute the variance and standard deviation. (e) do the data contain any outliers? (f) based on the sample data, does it appear that walmart is meeting its goal for reducing the number of hourly employees?

An insurance company estimates the probability of an earthquake in the next year to be 0.0015. the average damage done to a house by an earthquake it estimates to be $90,000. if the company offers earthquake insurance for $150, what is company`s expected value of the policy? hint: think, is it profitable for the insurance company or not? will they gain (positive expected value) or lose (negative expected value)? if the expected value is negative, remember to show "-" sign. no "+" sign needed for the positive expected value