Deckmaster builds decks using student employees throughout the summer months of June, July, and August. The company projects that it will receive following number of calls from people who want decks built: 100 calls in June, 300 calls in July, and 200 calls in August. Deckmaster is paid $800 for deck that is built throughout the month in which the customer calls. Calls require not be responded to throughout the month they're made, but if the call is responded to one month after it is made, then Deckmaster loses $100 in future goodwill, and if a call is responded to two months after it is made, Deckmaster loses $200 in goodwill. Each and every employee of Deckmaster can build 10 decks throughout a month. Each employee is paid the salary of $4000 for each month. At the beginning of June, the company has eight workers. Workers can be appointed and trained immediately at the cost of $5000 for each worker. Workers can be fired at the cost of $4000 per worker. Fractions of workers are permitted by using part-time employees.
Make an LP to maximize Deckmaster profits over the next 3 months. Assume that all decks requested must be built by the end of August.