Viking Pests Control Inc. terminates pests (bugs, insects, rat, etc.) at houses. During each of the...

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Viking Pests Control Inc. terminates pests (bugs, insects, rat, etc.) at houses. During each of the next three months, the company will receive the following number of calls from people who want service: January February March Calls 100 300 200 Viking is paid $800 for each served call during the month in which a customer calls. Calls need not be responded to during the month they are made, but if a call is not responded in the month it is received, the penalty is $100 per call per month. Each employee of Viking can serve 10 customer calls during a month. Each employee is paid a salary of $4,000 per month. At the end of December (before January starts), the company has 8 workers. Workers can be hired at the beginning of any month and trained (in 0 time) at a cost of $5,000 per worker. Workers can be fired at the beginning of any month at a cost of $4,000 per worker. We would like to formulate an integer program to maximize Vikings' profit over the next three months. Assume that all calls must be served by the end of March. Viking Pests Control Inc. terminates pests (bugs, insects, rat, etc.) at houses. During each of the next three months, the company will receive the following number of calls from people who want service: January February March Calls 100 300 200 Viking is paid $800 for each served call during the month in which a customer calls. Calls need not be responded to during the month they are made, but if a call is not responded in the month it is received, the penalty is $100 per call per month. Each employee of Viking can serve 10 customer calls during a month. Each employee is paid a salary of $4,000 per month. At the end of December (before January starts), the company has 8 workers. Workers can be hired at the beginning of any month and trained (in 0 time) at a cost of $5,000 per worker. Workers can be fired at the beginning of any month at a cost of $4,000 per worker. We would like to formulate an integer program to maximize Vikings' profit over the next three months. Assume that all calls must be served by the end of March.