Acme Batteries is introducing a new line of battery packs for electric vehicles. The cost of fabricating the

first battery pack is $$3,200$ with a learning rate of $0\mathrm{.}7.$

a$)$ What is the cost of the ${100}^{th}$ battery pack to the nearest cent? Provide an explanation.

b$)$ Create an Excel spreadsheet based on the above, change the number of units and compute the cost

per battery pack repeatedly to experimentally determine at what number of units of production the

cost comes down to exactly $$50$ per battery pack. Copy and paste a screenshot of the spreadsheet

below $($do not submit an Excel file$).$ Provide an explanation.