Audio Disks Will Be Opening Outlets in the Greater Phoenix

question 27

Essay

Audio Disks will be opening outlets in the greater Phoenix area. The estimated sales at each store are dependent not only on the store location, but on the number of sales personnel, as presented in the table below ($000/year). Each store requires at least 2 sales people, and a pool of 9 salespeople is available. $$\begin{array} { c | c c c c } & { \text { Staff Size } } \\& 2 & 3 & 4 & 5 \\\hline \text { Store 1 } & 60 & 85 & 90 & 100 \\\text { Store 2 } & 105 & 120 & 130 & 150 \\\text { Store 3 } & 120 & 145 & 160 & 175\end{array}$$
a.What would the states be in the dynamic programming formulation?
b.Draw the network that represents the dynamic programming formulation.
c.Given the above network, solve the sales personnel allocation problem by finding the longest path.

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Definitions:

Cost of Goods Manufactured

The total production cost of goods that are completed and ready for sale during a specific period.

Raw Materials Purchased

The total cost of all raw materials bought by a company for use in production.

Manufacturing Overhead

All indirect costs associated with the manufacturing process, including utilities, rent, and salaries of supervisors, that cannot be directly traced to specific products.

Supply Chain

The Supply Chain encompasses all the steps involved in producing and delivering a product or service, from the raw material stages to the final customer delivery.