Boston Industries uses three overhead resources, all of which are time constrained, to produce three products. The following table summarizes the relevant information for the products and resources: 

Required 

(a) Given this information, determine the production plan that maximizes total contribution margin. 

(b) The Marketing Department advises you that it forgot to tell you that the maximum sales of product X45 is 1,000 units, and the maximum sales of YT274 is 3,000 units. There is no constraint on the sales of Z887. Given this revised information, determine the production plan that maximizes total contribution margin. 

(c) The sales manager has just advised you that, in addition to the sales constraints for the two products mentioned in part (b), there are outstanding sales orders of 1,000 units of X45, 1,200 units of YT274, and 2,000 units of Z887. These amounts are not part of the sales constraints mentioned in part (b), and these orders must be filled first. Given this information, determine the production plan that maximizes total contribution margin. 

(d) The union representative has advised you that she will make an additional 5,000 hours available. Given the information provided in part (c), what is the most the company should be willing to pay for these additional 5,000 hours?

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PER-UNIT INFORMATION Contribution margin Labor hours used... Machine hours used.. Finishing hours used Hours available Labor..... Machine Finishing . X45 $50.00 243 25,000 14,000 26,000 YT274 $65.00 4 2 5 Z887 $78.00 7 1 3