Question: A small lumber company in the Southwest produces two types of pine boards used in home construction: 2x4s and 2x6s (dimensions in inches). They have sales commitments to produce four 2x4s and two 2x6s, but they think that they should not produce more than eight 2x6s because of market demand. They are also trying to support the local community by employing people. Thus they want to keep at least 12 men employed but only need 2 men to produce each 2x4 and 1 person to produce each 2x6 per minute. It costs them $.50 to produce a 2x4 and $.80 to produce a 2x6 per minute. Formulate linear programming g problem.