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.

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John novosel was employed by nationwide insurance company for fifteen years. novosel had been a model employee and, at the time of discharge, was a district claims manager and a candidate for the position of division claims manager. during novosel's fifteenth year of employment, nationwide circulated a memorandum requesting the participation of all employees in an effort to lobby the pennsylvania state legislature for the passage of a certain bill before the body. novosel, who had privately indicated his disagreement with nationwide's political views, refused to lend his support to the lobby, and his employment with nationwide was terminated. novosel brought two separate claims against nationwide, arguing, first, that his discharge for refusing to lobby the state legislature on behalf of nationwide constituted the tort of wrongful discharge in that it was arbitrary, malicious, and contrary to public policy. novosel also contended that nationwide breached an implied contract guaranteeing continued employment so long as his job performance was satisfactory. what decision as to each claim?

(05.04 mc) a 2012 report from the u.s. surgeon general stated: "another common practice is strategically locating tobacco-related marketing materials where young children will be exposed to them. tobacco industry executives acknowledge that products and advertising should be placed at eye level (pollay 2007), but in california, 48% of stores had at least one cigarette marketing item at or below 3 feet from the floor (feighery et al. 2001)." it was also noted that 25% of cigarette displays were next to candy. in addition, a national study found that about one-third of the stores had tobacco ads at low heights. after california banned counter displays, some stores place cigarettes in transparent displays so product brands could still be seen. why did some stores use transparent units to display the cigarettes? (3 points) to comply with the new rules while still encouraging cigarette purchases via visual exposure to ensure children and minors are not exposed to cigarettes and their eye-catching packaging to minimize exposure to humidity, extending the shelf life of the cigarettes' tobacco to reduce the occurrence of shoplifting, since cigarettes are high-revenue items