For a new bond movie which is going to be released soon (i. e., is there ever a time that a new bond movie is not about to be a producer of stylish watches has received the exclusive rights to sell a bond-branded watch. the sales price, as negotiated in the contract, is $350, and a watch costs the producer $150 to assemble and ship to the stores. their contract stipulates that 6 months after the blu-ray release of the movie, the watches have to be destroyed (since a new bond movie is then already on the horizon), and are thus worthless. assume that the producer is facing a one-shot production cycle and that it is impossible to produce additional watches later on. the demand for these watches is normally distributed with a mean of 15,000 and a standard deviation of 2,500. determine the optimal number of watches to produce.