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Problem 4, 15 points: Northern Production Company has 200 labor-hours available. There is no limit on machine- hours. Northern can sell all ofY it wants, but it can only sell 45 units and 20 units ofx and Z, respectively. Product X Product Y Product Z Contribution margin per unit $30 $20 Labor-hours per uni Machine-hours per unit m10 Required: 1. Calculate the contribution margin per labor hour for each product. 2. Calculate the contribution margin per machine hour for each product. 3. To maximize profits, how many units of each product should Northern produce if they have 200 labor hours available, keeping in mind the maximum sales ofeach product described above