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

Design matrix, It is used generally for the matrix which specifies a statis...

It is used generally for the matrix which specifies a statistical model for a set of observations. For instance, in a one-way design with the three observations in one group, tw

Cycle hunt analysis, The procedure for clustering variables in the multivar...

The procedure for clustering variables in the multivariate data, which forms the clusters by performing one or other of the below written three operations: * combining two varia

Comparative exposure rate, Comparative exposure rate : A measure of allianc...

Comparative exposure rate : A measure of alliance for use in a matched case-control study, de?ned as the ratio of the number of case-control pairs, where the case has greater expos

Calculate the standard deviation, Q. A toothpaste company want to know if i...

Q. A toothpaste company want to know if its new product increases the length of time in-between dentist visit to its user. The company sets a target for 180 days to determine if it

Dropout, A subject who withdraws from the study for whatever reason, advers...

A subject who withdraws from the study for whatever reason, adverse side effects, noncompliance, moving away from the district, etc. In number of cases the reason may not be known.

Construct a stem-and-leaf diagram, The number of employees absent from work...

The number of employees absent from work at a large electronics manufacturing plant over aperiod of 106 days is given in the table below. 146 141 139 140 145 141 142 131 142 140

Wilcoxon''s ranksum test, Wilcoxon's ranksum test is the distribution free...

Wilcoxon's ranksum test is the distribution free method or technique used as an alternative to the Student's t-test for assessing whether two populations have the same location. G

Poisson regression, Poisson regression In case of Poisson regression w...

Poisson regression In case of Poisson regression we use ηi = g(µi) = log(µi) and a variance V ar(Yi) = φµi. The case φ = 1 corresponds to standard Poisson model. Poisson regre

Inliers, Inliers is the term used for the observations most likely to be s...

Inliers is the term used for the observations most likely to be subject to error in situations where the dichotomy is developed by making a ‘cut’ on an ordered scale, and where th

Quincunx, Quincunx  is the device used by Galton to illustrate his lecture...

Quincunx  is the device used by Galton to illustrate his lectures, which is shown in the Figure. It had a glass face and a funnel at its top. The shot was passed through funnel an

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