The Sun Company manufactures two types of lamps, labeled A and B. Because of limited materials, the company can produce no more than 400 lamps. Each lamp requires work-hours in the painting department and the finishing department. The total number of hours available per day for the painting and finishing departments are 600 and 300 respectively. Lamp A requires 4 hours in the painting department and 1 hour in the finishing department. Lamp B requires 1 hour in the painting department, and 1 hour in the finishing department. The profits made on each lamp are $50 for each lamp A and $40 for each lamp B. a. Determine the number of lamps of each type should be made to maximize profit. b. What is the maximum profit? c. Are there any "leftover" workhours? If so, how many and in which department?

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The Sun Company manufactures two types of lamps, labeled A and B. Because of limited materials,
the company can produce no more than 400 lamps. Each lamp requires work-hours in the painting
department and the finishing department. The total number of hours available per day for the
painting and finishing departments are 600 and 300 respectively. Lamp A requires 4 hours in the
painting department and 1 hour in the finishing department. Lamp B requires 1 hour in the painting
department, and 1 hour in the finishing department. The profits made on each lamp are $50 for
each lamp A and $40 for each lamp B.
a. Determine the number of lamps of each type should be made to maximize profit.
b. What is the maximum profit?
c. Are there any "leftover" workhours? If so, how many and in which department?
Transcribed Image Text:The Sun Company manufactures two types of lamps, labeled A and B. Because of limited materials, the company can produce no more than 400 lamps. Each lamp requires work-hours in the painting department and the finishing department. The total number of hours available per day for the painting and finishing departments are 600 and 300 respectively. Lamp A requires 4 hours in the painting department and 1 hour in the finishing department. Lamp B requires 1 hour in the painting department, and 1 hour in the finishing department. The profits made on each lamp are $50 for each lamp A and $40 for each lamp B. a. Determine the number of lamps of each type should be made to maximize profit. b. What is the maximum profit? c. Are there any "leftover" workhours? If so, how many and in which department?
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