Question

This is all the information provided. Please specify what additional information you may think is missing. Thank you!

What have you done for me lately? – Recruiting 2021

National signing day for rugby recruiting season 2020 has been completed – now, as the

recruiting coordinator for the San Diego State University Aztec rugby team, it is time to analyze

the results and plan for 2021.

You’ve developed complex analytics and data collection processes and applied them for the past

few recruiting seasons to help you develop a plan for 2021. Basically, you have divided the area

in which you actively recruit rugby players into 8 different regions. Each region has a per target

cost, a “star rating” (average recruit ‘star’ ranking, from 0 to 5, similar to what Rivals uses for

football), a yield or acceptance rate percentage (the percentage of targeted recruits who come to

SDSU), and a visibility measure, which represents a measure of how much publicity SDSU gets

for recruiting in that region, measured per target (increased visibility will enhance future

recruiting efforts).

	cost/target	avg star rating	acceptance rate %	visibility per target
Region1	125	3	40	0
Region2	89	2.5	42	0
Region3	234	3.25	25	2
Region4	148	3.1	30	3
Region5	321	3.5	22	7
Region6	274	3.45	20	4
Region7	412	3.76	17	5
Region8	326	3.2	18	5.5

Your goal is to create a LINEAR mathematical model that determines the number of target

recruits you should pursue in each region in order to have an estimated yield (expected number )

of at least 25 rugby recruits for next year while minimizing cost. (Region 1 with yield of 40% -

if we target 10 people, the expected number that will come is .4*10 = 4.)

In determining the optimal number of targets in each region (which, not surprisingly, should be

integer values), you must also satisfy the following conditions.

1) No more than 20% of the total targets (not the expected number of recruits) should be from

any one region.

2) Each region should have at least 4% of the total targets (again, not the expected number of

recruits, but the number of targets).

3) The average star rating of the targets must be at least equal to 3.3.

4) The average visibility value of the targets must be at least equal to 3.5.

Off on the recruiting trail you go!!

Answer 1

According to me the number of players and number of targets per individual in each region is missing.