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The Golden Gate Cranberry Company purchases cranberries from local growers and makes cranberry sauce and cranberry juice. It costs $0.70 to produce a can of cranberry sauce and $0.95 to produce a bottle of cranberry juice. In order to present a representative marketing mix to its customers the company has made it a policy that at least thirty percent, but not more than sixty percent, of the items it produces be cranberry sauce.
The company wants to produce up to, but no more than, the demand for each product. The company marketing manager estimates that the demand for cranberry sauce is a maximum of 5,000 cans plus an additional 3 cans for each $1 spent on advertising. The maximum demand for cranberry juice is estimated to be 4,000 bottles plus an additional 5 bottles for every $1 spent to promote cranberry juice. The company has $16,000 to spend on producing and advertising cranberry sauce and cranberry juice. Cranberry sauce sells for $1.45 per can while cranberry juice sells for $1.75 per bottle.
The company wants to know how many units of each cranberry product to produce and how much to spend on advertising for each product in order to maximize profit. Formulate a linear programming model for this problem. Make sure you clearly define decision variables. Do not attempt to solve this problem.
Sketch a phase diagram corresponding to each of these cases. Try to make some general statements about the structure of equilibrium as a function of the parameters.
waiting time T between successive occurrences of an event E
What is the optimal number of tables the company should produce during the current production cycle?
The costs to transport goods between outlets is listed below. What is the minimum cost and associated routing to ship from A to B and E on the same delivery run?
Let D be the parallelogram with vertices (0, 0), (1, 2), (2, 2), (3, 4) - Evaluate double integrals to find the volume
3. Which of the following is considered a molecular compound?
What general conclusions can you reach about the relationship between the relative sizes of the two masses and the corresponding reduced mass?
Skew-symmetric matrices
Write a short account commenting on these two methods, explaining why the alternative approach is likely to be considerably quicker for a list of 100 names.
Choose a company and use any of the 2 (qualitative or quantitative) research and analysis methods to demonstrate selected perceptions (approved by the faculty) of the company. This project requires you to research, review, and analyze perceptions ..
Find a study in a professional journal that uses a type of probability distribution covered in these chapters. Write a brief report describing this study and how the researcher used this tool to communicate the impact of the information discovered..
In a game of Yahtzee, you roll 5 dice each turn. What is the probability that on one turn exactly two of the dice end up with the value 3. (Hint: use the binomial distribution for this problem.)
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