Question attached in the picture. Thanks!

An electronics store sells a specific type of TV. The number of TVs sold each day follows a Poisson process with rate Lambda=10. The store can hold a maximum inventory of 100 TVs. Every time the inventory level falls below 50, an order is placed to bring the inventory up to 100. Each order is received at the beginning of the 3rd day after it was placed. Write a code that simulates the process of selling products and ordering. Plot important variables for one simulated 50 day period. Assume the following are true and simulate store's profit after 50 days (repeat the simulation 1000 times and post histogram of profits): 0 Cost of placing an order: C=$150*Quantity_0rdered+$500 (ordering cost, paid at time of delivery) 0 Holding cost per night: H=SO.5 per item held 0 Revenue per sold item: R=$200 Using R, add a piece of code to maximize profit by selecting optimal inventory level at which an order should be placed (currently 50)