MANUFACTURING. Bard’s Pewter Company (BPC) manufactures pewter plates, mugs, and steins that include the campus name and logo for sale in campus book stores. The time required for each item to go through the two stages of production (molding and finishing) and the corresponding unit profits are given in the following table.
BPC employs 12 workers, each of whom works 8 hours per day; 4 are assigned to the molding operation, the others to the finishing operation. BPC’s marketing department has recommended the following:
• At least 1 50 mugs should be produced daily.
• The number of steins produced can be at most twice the combined total number of plates and mugs produced.
• Plates can account for no more than 30% of the total daily unit production.
a. It management accepts the marketing department’s recommendations in full, determine an optimal daily production schedule for BPC.
b. Suppose the 12 workers could be reassigned optimally to the two operations. By how much would the daily profit change?
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