Reeves Southeastern Corporation Reeves Southeastern Corporation wants to assign

Question

Reeves Southeastern Corporation Reeves Southeastern Corporation wants to assign each of its 13 corporate clients to one of its three salespersons. The estimated annual sales revenue (in $1,000,000) is shown in the following table. Client A B CDEF G HI K L Revenue 67 84 52 70 74 62 94 63 73 109 7736 114 Reeves Corporation wants each salesperson to be assigned to at least 3 and no more than 6 clients. The assignment should make the sales potential assigned to each salesperson as equal as possible. In other words, the target revenue for each sales person should be equally distributed among the three salespeople so that each salesperson is roughly responsible for 1/3 of the total revenue. The goal-programming objective should be the total weighted percent deviation. Comments and Hints: You must calculate the target value for each salesperson. The target should be the total revenue divided by the number of salespeople. .Use under- and over-weight values that are all equal to 1

Explanation / Answer

sum of revenue = 975

avg revenue target to each sales person ( equally weighted ) = 975/3 = 325

let's give 2 sales person no target means they get zero targets ( underweight )

and give the last salesman all the target ( overweight)  

its means any weight above 1/3 is overweight and lower than that is underweight.

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