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A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Labor-Hours per Ski Department Trick Ski Maximum Labor-Hours Available per Day 336 Slalom Ski Fabricating 8 6 Finishing 1 1 48 Answer parts (A), (B), and (C) below. C... (A) If the profit on a trick ski is $30 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $ 1920. The maximum occurs when 0 trick skis and 48 slalom skis are produced. (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $35. The maximum profit $1680. The maximum occurs when 1680 trick skis and slalom skis are produced. decreases to increases to remains the same at

A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Labor-Hours per Ski Department Trick Ski Maximum Labor-Hours Available per Day 336 Slalom Ski Fabricating 8 6 Finishing 1 1 48 Answer parts (A), (B), and (C) below. C... (A) If the profit on a trick ski is $30 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $ 1920. The maximum occurs when 0 trick skis and 48 slalom skis are produced. (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $35. The maximum profit $1680. The maximum occurs when 1680 trick skis and slalom skis are produced. decreases to increases to remains the same at

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Optimizing Production for Maximum Profit A manufacturing company makes two types of water skis: a trick ski and a slalom ski. The relevant manufacturing data are given below: #### Manufacturing Data Table | Department | Trick Ski | Slalom Ski | |--------------|-----------|------------| | **Labor-Hours per Ski** | | | | Fabricating | 8 | 6 | | Finishing | 1 | 1 | | **Maximum Labor-Hours Available per Day** | | | | Fabricating | | 336 | | Finishing | | 48 | --- #### Problem Part (A): **Question:** If the profit on a trick ski is $30 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? **Solution:** - The maximum profit is **$1920**. - The maximum occurs when **0** trick skis and **48** slalom skis are produced. --- #### Problem Part (B): **Question:** Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $35. **Solution:** - The maximum profit **decreases to** **$1680**. - The maximum occurs when **0** trick skis and **48** slalom skis are produced. --- By analyzing the labor-hour constraints and adjusting for changes in profit margins, the company can optimize its production schedule to achieve maximum profitability.
Transcribed Image Text:### Optimizing Production for Maximum Profit A manufacturing company makes two types of water skis: a trick ski and a slalom ski. The relevant manufacturing data are given below: #### Manufacturing Data Table | Department | Trick Ski | Slalom Ski | |--------------|-----------|------------| | **Labor-Hours per Ski** | | | | Fabricating | 8 | 6 | | Finishing | 1 | 1 | | **Maximum Labor-Hours Available per Day** | | | | Fabricating | | 336 | | Finishing | | 48 | --- #### Problem Part (A): **Question:** If the profit on a trick ski is $30 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? **Solution:** - The maximum profit is **$1920**. - The maximum occurs when **0** trick skis and **48** slalom skis are produced. --- #### Problem Part (B): **Question:** Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $35. **Solution:** - The maximum profit **decreases to** **$1680**. - The maximum occurs when **0** trick skis and **48** slalom skis are produced. --- By analyzing the labor-hour constraints and adjusting for changes in profit margins, the company can optimize its production schedule to achieve maximum profitability.
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