Ghostbusters, inc., exorcises (gets rid of) ghosts. during each of the next three months, the company will receive the following number of calls from people who want their ghosts exorcised: january, 100 calls; february, 300 calls; march, 200 calls. ghostbusters is paid $800 for each ghost exorcised during the month in which the customer calls. calls need not be responded to during the month they are made, but if a call is responded to one month after it is made, then ghostbusters loses $100 in future goodwill, and if a call is responded to two months after it is made, ghostbusters loses $200 in goodwill. each employee of ghostbusters can exorcise 10 ghosts during a month. each employee is paid a salary of $4,000 per month. at the beginning of january, the company has 8 workers. workers can be hired and trained (in 0 time) at a cost of $5,000 per worker. workers can be fired at a cost of $4,000 per worker. formulate an lp to maximize ghostbusters’ profit (revenue less costs) over the next three months. assume that all calls must be handled by the end of march.