(1) The HotBeverages Company has a cup that reduces the temperature of a liquid from 200...

(1) The HotBeverages Company has a cup that reduces the temperature of a liquid from 200 F to 100 F in 30 minutes by maintaining a constant temperature of 70 F.

(2) The BestSupplies Company has a cup that reduces the temperature of a liquid from 200 F to 110 F in 25 minutes by maintaining a constant temperature of 60 F.

(3) The MountainGrown Company has a cup that reduces the temperature of a liquid from 200 F to 120 F in 20 minutes by maintaining a constant temperature of 65 F.

You need to recommend which cup the restaurant should purchase. Use the questions below to make a presentation of your recommendation with a documented explanation of the recommendation to the restaurant.

(a)Use Newton’s Law of Cooling to find a function relating to the temperature of the liquid over time for each cup. ?(?) = ? ∙ ? ?? + ?? where ?(?) is the temperature of the object after a given time ? is a constant found from the initial temperature of the object ? is a constant for the continuous rate of cooling of the object

(b)Graph the three functions on a single set of axis using Excel.

(c)How long does it take each cup to lower the coffee temperature from 200 F to 130 F?

(d)How long will the coffee temperature remain between 110 F and 130 F for each cup?

(e)Eliminate one of the cups from your decision. Why did you eliminate this cup?

(f) Complete the market analysis worksheet below for the remaining two cups. What is your final probability vector? How long will it take to get to your final probability vector? What does this mean?

(g)Which company would you recommend to the restaurant? Explain your reasoning.

(h)How might the cost of the container affect your decision?

Expert Solution

genius_generous answered 2 years ago

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