Quantitative Methods, Advanced Statistics

Assignment Help:
After graduating from Tech Julia was unable to find regular employment and approached the Director of Athletics at Tech to request that she remain a vendor of the following year. The Director was so impressed by Julia’s progress and professionalism from the year before he decided to allow her to continue to be a vendor for the next season with the following conditions and changes:
Julia must do a 70:30 split of all of her profits with the Department of Athletics. Julia also has the ability to sell soft drinks. If she decide to sell soft drinks, she must agree to a 60:40 split; however, the department will not provide any monetary funding. Julia’s cost for the soft drinks are 55 cents, and she sells them for two dollars. She can expect to sell just as many soft drinks as all food items combined.
Julia must sell food from two (2) booths; however, she will pay the same price as she paid for one booth during the previous season.
The department of athletics is able to use the warming ovens owned by food services at no cost since all student athletes on scholarship have a meal plan. There are three (3) warming ovens available to Julia. The warming ovens are the same capacity as those used the previous season.
Julia has the same options available for the types of food to sell however, she is able to take advantage of a discount that the school receives from the same vendor she purchased the pizza, hot dogs and sandwiches from; the discount is 20%, 20% and 30% respectively.
Due to the operation of two (2) booths, Julia must hire at least two additional persons at the same rate as previously determined.
After paying off here loans from the previous season, she has $2750.00 in savings from a part-time job at the mall, which she is able to invest in the venture. If Julia clears at least $2000.00 in profit for each game after paying all her expenses, she believes it will be worth the partnership with the Department of Athletics.

Formulate and solve a linear programming model for Julia that will help you advise her on which offer to accept from the director if any. Julia’s younger brother who is a freshman at Tech wants to help Julia increase her profits by loaning her some money using his school refund check. Her brother’s only requirement is that she repays him by the end of the season and he is allowed to get into the games free by posing as one of her assistants and receiving free food for him and his girlfriend. If Julia decides to take him up on his offer, how much should she borrow, if anything?

What is your recommendation to Julia?



Related Discussions:- Quantitative Methods

Bayesian inference, Bayesian inference : An approach to the inference based...

Bayesian inference : An approach to the inference based largely on Bayes' Theorem and comprising of the below stated principal steps: (1) Obtain the likelihood, f x q describing

Empirical bayes method, The procedure in which the prior distribution is re...

The procedure in which the prior distribution is required in the application of Bayesian inference, it is determined from empirical evidence, namely same data for which the posteri

Cluster randomization, Cluster randomization : The random allocation of the...

Cluster randomization : The random allocation of the groups or clusters of the individuals in the formation of treatment groups.Eeven though not as statistically ef?cient as the in

Nested design, Nested design  is the design in which levels of one or more ...

Nested design  is the design in which levels of one or more factors are subsampled within one or more other factors such that, for instance, each level of a factor B happens at onl

Funnel plot, It is an informal method of assessing the effect of the public...

It is an informal method of assessing the effect of the publication bias, generally in the context of the meta-analysis. The effect measures from each of the reported study are plo

Growth curve analysis, Growth curve analysis is t he general term for metho...

Growth curve analysis is t he general term for methods dealing with development of the individuals over time. A classic instance includes recordings made on a group of children, sa

Regression dilution, Regression dilution is the term which is applied when...

Regression dilution is the term which is applied when a covariate in the model cannot be measured directly and instead of that a related observed value must be used in analysis. I

Describe item-total correlation, Item-total correlation is an  extensively...

Item-total correlation is an  extensively used method for checking the homogeneity of the scale made up of number of items. It is simply the Pearson's product moment correlation c

Occam''s razor, Occam's razor  is an early statement of the parsimony princ...

Occam's razor  is an early statement of the parsimony principle, which was given by William of Occam (1280-1349) namely 'entia non sunt multiplicanda praeter necessitatem'; which m

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd