Phillips Inc. produces two distinct products, A and B. The products do not compete with each other in the marketplace; that is, neither cost, price, nor demand for one product will impact the demand for the other. Phillips' analysts have collected data on the effects of advertising on profits. These data suggest that, although higher advertising correlates with higher profits, the marginal increase in profits diminishes at higher advertising levels, particularly for product B. Analysts have estimated the following functions: Annual profit for product A = 0.9712 LN(XA) + 17.414
Annual profit for product B = 0.3970 LN(XB) + 16.109

where XA and XB are the advertising amount allocated to products A and B, respectively, in thousands of dollars, profit is in millions of dollars, and LN is the natural logarithm function. The advertising budget is $500,000, and management has dictated that at least $50,000 must be allocated to each of the two products.

Build an optimization model that will prescribe how Phillips should allocate its marketing budget to maximize profit.

The following information is available for juno company for the month ending june 30, 2019. * balance as per the bank statement is $ 11 comma 000. * balance as per books is $ 10 comma 400. * check #506 for $ 1 comma 200 and check #510 for $ 900 were not shown on the june 30, bank statement. * a deposit in transit of $ 3 comma 346 had not been received by the bank when the bank statement was generated. * a bank debit memo indicated an nsf check for $ 70 written by jane smith to juno company on june 13. * a bank credit memo indicated a note collected by the bank of $ 1 comma 900 and interest revenue of $ 51 on june 20. * the bank statement indicated service charges of $ 35. what is the adjusted book balance?

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?

Which term best fits the sentence? is the process of reasoning, analyzing, and making important decisions. it’s an important skill in making career decisions. a. critical thinking b. weighing pros and cons c. goal setting