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

Cohort study, Cohort study : An investigation in which the group of individ...

Cohort study : An investigation in which the group of individuals (or the cohort) is identi?ed and followed prospectively, possibly for many years, and their subsequent medical his

Finite population correction, This term sometimes used to describe the extr...

This term sometimes used to describe the extra factor in variance of the sample mean when n sample values are drawn without the replacement from the finite population of size N. Th

Bayesian network, Bayesian network : It is essentially an expert system in ...

Bayesian network : It is essentially an expert system in which the uncertainty is dealt with using the conditional probabilities and Bayes' Theorem. Formally such type of network c

Designmatrix, how to constuct design matrix

how to constuct design matrix

L''abbe ´ plot, L'Abbe ´ plot is often used in the meta-analysis of the cl...

L'Abbe ´ plot is often used in the meta-analysis of the clinical trials where the result is the binary response of it. The event risk (number of events/number of the patients in a

Likelihood, Likelihood is the probability of a set of observations provide...

Likelihood is the probability of a set of observations provided the value of some parameter or the set of parameters. For instance, the likelihood of the random sample of n observ

Effect sparsity, The term which is used in the industrial experimentation, ...

The term which is used in the industrial experimentation, where there is commonly a large set of candidate factors believed to have the possible significant influence on the respon

Describe law of likelihood, Law of likelihood : Within framework of the sta...

Law of likelihood : Within framework of the statistical model, a particular set of data supports one statistical hypothesis or assumption better than another if the likelihood of t

Cohort component method, Cohort component method : A broadly used method or...

Cohort component method : A broadly used method or technique of forecasting the age- and sex-speci?c population to the upcoming years, in which the initial population is strati?ed

Cube law, A law supposedly applicable to voting behaviour which has a histo...

A law supposedly applicable to voting behaviour which has a history of several decades. It may be stated thus: Consider a two-party system and suppose that the representatives of t

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