A burer for a larpe department atore chain must place orders with an athilotic shoe masufocturer six months prior to the time the thoes will be sold in the department stores. each pair of thas new brand of tesnis shees costs the department atore chain 565 per pali. Furthermere, astume that each pair of these shoes can then be sold to the chain's customers for $90 per pain, Any pairs of these shoes remaining uneld at the end of the summer swasen will be sold in a claseout sale next fall for $20 each, The probability ditribution of consumer demand for these tennis shoes during the coming summer season has been assesied by markat retearch specialists and is provided in the file a. Idenefy the strategn that moximires the dopartment store chain's expected profit earned by purchasing and subsequently selling pain of the new tennis ahees. The eptimal Zecisien is to purchaie As a decision tree really necensary? pairs of shoes prier te the ceming summer sasson, By doing so, the buyer achieves an EMV of 1 If sa, what dses it add to the andyalo? If net, why nele Explain yeur ceasoning. This is an example of a perfermed with data tabies. decisien preblem, where EMVi are to calculate with Excel formulas, and sensitivity analysis the inputs appeare to Nuve the largeit allect en the best solutien? \begin{tabular}{|c|c|r|} \hline 2 & & \\ \hline 3 & Demand (100s of pairs) & Probability \\ \hline 4 & 1 & 0.025 \\ \hline 5 & 2 & 0.050 \\ \hline 6 & 3 & 0.075 \\ \hline 7 & 4 & 0.100 \\ \hline 8 & 5 & 0.150 \\ \hline 9 & 6 & 0.200 \\ \hline 10 & 7 & 0.175 \\ \hline 11 & 8 & 0.100 \\ \hline 12 & 9 & 0.075 \\ \hline 13 & 10 & 0.050 \\ \hline 14 & & \\ \hline 15 & & \\ \hline 16 & & \\ \hline \end{tabular}