please dont aswer from excel solutions I need handwritten formulas and solutions please!

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 $55 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 a mean of 10500 and a standard deviation of 5079. TCX sells each unit, after integrating their proprietary software for $135. Assume that TCX uses a holding cost rate of 25%, 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