v=18411 , Vs=15 

TCX, Inc. is an Indian electronics system integrator, developing a new product as a generational upgrade. Owing to their long business history, they intend to work with Deltic, Inc. as the supplier of a key component for this product. Deltic sells this component for $(80 - Vs) per unit with a 4-month delivery lead time. Assume Deltic covers all transportation and related processing until delivery. TCX's demand forecast for the upcoming selling season (12 months) is a normal distribution with mean 300 x (10+ Vs) and standard deviation V/5. TCX sells each unit, after integrating their proprietary software, for $ 135. Assume that TCX uses a holding cost rate of Vs %, and any leftover units can be sold for $30 on average. 1] [20] Due to the long lead time and high minimum order quantity required, TCX is planning on a single order from Deltic to meet their needs in the next year. How many of these components should TCX order? Calculate the resulting expected annual profits for TCX. Suppose the COO at TCX is considering an online electronic component supplier, eTECH, to procure this component from. eTECH's main value proposition is that they offer 100% in-stock probability with 5-day delivery on all TCX orders, regardless of their quantity and time. TCX promises a 2-week lead time to their clients, so this highly reactive capacity at eTECH would enable TCX to fulfill all their orders on time. The downside is that eTECH's delivered unit price is $ 80. Upon negotiations, concerned that they would lose some business with TCX, Deltic agrees to deliver a midseason 2nd order with no price increase.