Happv Electronics Is developing a new product for which the unit profit margin {i.e. unlt selling price minus unit cost} will be 55. However, the development time T is a random variable that follows an exponential distribution with a parameter p = K, where K is the total investment in this RED project in million 5. For example, if the total investment is $5 million, then p = 5. The demand will be a function of the development or introduction time of this new product: the later the introduction, the smaller the demand. In particular, demand D _ 10,000,000 _ 1 + If ' The ciompan'ylr is now comparing two investment plans: $2 million versus $5 million. To maximize the total profit, which plan is better? You can solve this problem bv building a simulation model in Excel. Total prot : D K 5 l,i}i}, K: 5 W Lil K 1 ME :5. 5 _{]-I]{}, 1,,i}i}i} K 1hr]: Since the development time T is a random variable that follows an exponential distribution with parameter p: K , A : p: K Cumulative distribution function: y=F[Ti=1e_T KT e =1y where v is a uniform random number from [I to 1 KT1ne=ln[1ry} -KT=1n{1- y} T=_?lln(1y}