A brand manager for ColPal Products must determine how much time to allocate between radio and television advertising during the next month. Market research has provided estimates of the audience exposure for each minute of advertising in each medium, which it would like to maximize. Costs per minute of advertising are also known, and the manager has a limited budget of $25,000. The manager has decided that because television ads have been found to be much more effective than radio ads, that there should be at least 3 times the amount of time allocated to television as compared to radio.(i.e. for every 1 minute of radio ads we need at least 3 minutes of television ads) Suppose that we have the following data: Type of Ad Exposure/Minute Cost/Minute 350 $400 800 $2,000 Radio TV What is the optimal amount of exposure given the constraints? Report answer to two decimal places.

If Starbright Coffee Shop could get 1 more pound of coffee, which one should it be?What would be the effect on sales of getting 1 more pound of this coffee?• If the costs associated with increasing brewing capacity from 30 gallons to 40 gallonsper day come out to roughly $15 per day, would such a change be profitable?• If the shop spent $20 per day on advertising that would increase the relative demandfor Pomona to twice that of Coastal, should it be done?

The Harriet Hotel in downtown Boston has 100 rooms that rent for $150 per night. It costs the hotel $30 per room in variable costs (cleaning, bathroom items, etc.) each night a room is occupied. For each reservation accepted, there is a 5% chance that the guest will not arrive. If the hotel overbooks, it costs $200 to compensate guests whose reservations cannot be honored. How many reservations should the hotel accept if it wants to maximize the average daily profit?

The new business venture, Best-In-World, has been manufacturing technology devices for over 20 years and is considering adding a new technology device to its music line. They have an established reputation for building quality devices, but they are rather novice in the music industry. The Chief Innovation and Design Officer, Julie Naugle-Hall, is tasked with hiring a marketing firm to conduct a survey to determine the feasibility and demand for their new music device. The follow decision table illustrates the potential payoffs for a high demand, moderate demand and low demand for the new music device. The decision will be whether to start production on this new device in small scale, large scale or not at all. Alternatives Answer Small-scale production Large-scale production No production Probabilities Decision Table High Demand 850,000 1,700,000 0 0.20 State of Nature Moderate Demand 300,000 700,000 0 0.50 Low Demand -700,000 -1,000,000 0 0.30 Step 3 of 3: How much should Julie be…

G.97.

An entrepreneur who owns and operates two businesses (A and B) would like to analyze their profitability. They would like your help in the analysis. They give you the annual net profit (in thousands of $) for each business from 2008-2020. Table 1: Annual Net Profits for Businesses A and B Business Year Profit Business Year Profit 2008 -50 2008 -10 2009 57 2009 30 2010 71 2010 27 2011 64 2011 22 2012 60 2012 21 2013 50 2013 20 A 2014 41 2014 24 2015 59 2015 24 2016 71 2016 32 2017 71 2017 36 2018 74 2018 37 019 81 20 40 2020 97 2020 49 a. Suppose you want to graph the distribution of profits. Explain why using only one stem- plot might not be optimal for the analysis. b. Describe the correct stemplot to use. Generate this stemplot. Explain your steps. What can you say about the distribution from this stemplot? c. When are stemplots useful? And why is that? d. Suppose that instead of having 26 observations you have 200 observations. What graph should you generate? e. What other type of…

The new business venture, Best-In-World, has been manufacturing technology devices for over 20 years and is considering adding a new technology device to its music line. They have an established reputation for building quality devices, but they are rather novice in the music industry. The Chief Innovation and Design Officer, Julie Naugle-Hall, is tasked with hiring a marketing firm to conduct a survey to determine the feasibility and demand for their new music device. The follow decision table illustrates the potential payoffs for a high demand, moderate demand and low demand for the new music device. The decision will be whether to start production on this new device in small scale, large scale or not at all, Alternatives Answer Small-scale production Large-scale production No production Probabilities Step 1 of 3: Calculate the EMV for each alternative. Decision Table High Demand 900,000 1,500,000 0 0.25 EMV (small-scale) = = S EMV (large-scale) = = $ EMV (no production) = S State of…