Need help with Question 1.

LNQ Inc. has a packaging plant located in northern Virginia. Demand for packaging varies from month to month, making workforce scheduling a challenging task. Consequently, LNQ wants to start hiring employees from Instant Workers, Inc., which can provide temporary workers under three different contract options that differ in length of employment and cost Option Length of Employment Cost per Employee Contract 1 Contract 2 Contract 3 One month Two months Three months $1,900 $4,600 $7,300 The longer contract periods are more expensive as Instant Workers has greater difficulty finding temporary employees who are willing to commit to lenghthier work assignments. Over the first seven months of next year, LNQ has estimated the following needs for workers Month Minimum Num. Workers Required JanuaryFebruary March Ap May JuneJuly 10 12 25 19 17 20 14 Each month, LNQ can hire as many temporary workers as needed under each of the contract options. Because of some merger negotiations underway, LNQ does not want to commit to any contractual obligations for temporary workers that extend beyond July LNQs quality control program requires each temporary worker to receive training at the time of hire. The training program is required even if the person worked for the company in the past. LNQ estimates that the cost of training is $850 per worker hired, independently of the length of the contract 1. Formulate a Linear Program (Algebraic Formulation) to help LNQ to determine the number of temporary employees to hire each month on each contract type in order to meet the estimated needs at a minimum total cost. LNQ Inc. has a packaging plant located in northern Virginia. Demand for packaging varies from month to month, making workforce scheduling a challenging task. Consequently, LNQ wants to start hiring employees from Instant Workers, Inc., which can provide temporary workers under three different contract options that differ in length of employment and cost Option Length of Employment Cost per Employee Contract 1 Contract 2 Contract 3 One month Two months Three months $1,900 $4,600 $7,300 The longer contract periods are more expensive as Instant Workers has greater difficulty finding temporary employees who are willing to commit to lenghthier work assignments. Over the first seven months of next year, LNQ has estimated the following needs for workers Month Minimum Num. Workers Required JanuaryFebruary March Ap May JuneJuly 10 12 25 19 17 20 14 Each month, LNQ can hire as many temporary workers as needed under each of the contract options. Because of some merger negotiations underway, LNQ does not want to commit to any contractual obligations for temporary workers that extend beyond July LNQs quality control program requires each temporary worker to receive training at the time of hire. The training program is required even if the person worked for the company in the past. LNQ estimates that the cost of training is $850 per worker hired, independently of the length of the contract 1. Formulate a Linear Program (Algebraic Formulation) to help LNQ to determine the number of temporary employees to hire each month on each contract type in order to meet the estimated needs at a minimum total cost