Suppose we modify the production model in section 1.3 to obtain the following mathematical model: max 10x s. t. ax less than or equal to 40 x= 0 where a is the number of hours of production time required for each unit produced. with a = 5, the optimal solution is x = 8. if we have a stochastic model with a = 3, a = 4, a = 5, or a = 6 as the possible values for the number of hours required per unit, what is the optimal value for x? round your answers for the optimal solution to two decimal places. round the answers for profit to the nearest dollar.

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?

How has internet access changed and affected globalization from 2003 to 2013? a ten percent increase in internet access has had little effect on globalization. a twenty percent decrease in internet access has had little effect on globalization. a thirty percent increase in internet access has sped up globalization. a fifty percent decrease in internet access has slowed down globalization.

The following transactions occurred during july: received $1,000 cash for services provided to a customer during july. received $4,000 cash investment from bob johnson, the owner of the business received $850 from a customer in partial payment of his account receivable which arose from sales in june. provided services to a customer on credit, $475. borrowed $7,000 from the bank by signing a promissory note. received $1,350 cash from a customer for services to be rendered next year. what was the amount of revenue for july?