Example of LP$-$based production strategy

Consider a manufacturing plant that employs $300$ workers. The company starts the year with $500$ units of inventory on hand. The forecast for demand for the next six months is $1,280,640,900,1,200,2,000,$ and $1,400.$ The plant would like to have an ending inventory of $600$ units at the end of the six months. The cost of hiring one worker is $$500$ and the cost of firing a worker is $$1000.$ Inventory is calculated based on the amount held at the end of each month and costs $$80$ per unit per month. All demand must be satisfied. The number of aggregate units produced by one worker in one day $0\mathrm{.}14653.$ Assume that the number of working days in each month is $20.$

Formulate a linear program to determine the company's least total cost aggregate plan that can meet all of the demand without backlog.

Solve using excel and please show how it would look.