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

Explain personal probabilities, Personal probabilities : A radically specia...

Personal probabilities : A radically special approach for allocating probabilities to events than, for instance, the commonly used long-term relative frequency approach. In this ty

Banach''s match-box problem, Banach's match-box problem : The person carrie...

Banach's match-box problem : The person carries two boxes of matches, one in his left and one in his right pocket. At first they comprise N number of matches each. When the person

Autocorrelation, This graph for Cross Correlation Function for RES1, RES1 s...

This graph for Cross Correlation Function for RES1, RES1 shows that there is possibly negative autocorrelation as there are alternating spikes; also the first spike is negative whi

Descriptive statistics, how to describe association between quantitative an...

how to describe association between quantitative and categorical variables

Empirical likelihood, An approach of using the likelihood as the basis of e...

An approach of using the likelihood as the basis of estimation without the requirement to specify a parametric family for data. Empirical likelihood can be viewed as the example of

Central tendency, explain the graphical method of measure of central tenden...

explain the graphical method of measure of central tendency

Data collection - analysis and display, One of the most exciting areas of m...

One of the most exciting areas of mathematics involves the application of statistics to real-world settings to make informed decisions. In this task you will design, implement, and

Pascal''s triangle, Pascal's triangle  is an arrangement of numbers describ...

Pascal's triangle  is an arrangement of numbers described by Pascal in his Traité du Triangle Arithmétique published in the year 1665 as 'The number in each cell is equal to in the

Attack rate, Attack rate : This term frequently used for the incidence of t...

Attack rate : This term frequently used for the incidence of the disease or condition in the particular group, or during a limited interval of time, or under the special circumstan

Median, Median is the value in a set of the ranked observations which divi...

Median is the value in a set of the ranked observations which divides the data into two parts of equal size. When there are an odd number of observations the median is middle v

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