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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 Trick Ski Slalom Ski Department Fabricating Maximum Labor-Hours Available per Day 336 48 8 6 Finishing 1 1 Answer parts (A), (B), and (C) below. (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 $. The maximum occurs when trick skis and slalom skis are produced.

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 Trick Ski Slalom Ski Department Fabricating Maximum Labor-Hours Available per Day 336 48 8 6 Finishing 1 1 Answer parts (A), (B), and (C) below. (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 $. The maximum occurs when trick skis and slalom skis are produced.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Water Ski Manufacturing Constraints and Profit Optimization A manufacturing company produces two types of water skis: trick skis and slalom skis. The labor-hours required for manufacturing these skis and the maximum available labor-hours per day are detailed in the table below: | Department | Labor-Hours per Ski | | Maximum Labor-Hours Available per Day | |--------------|---------------------|------------|----------------------------------------| | | Trick Ski | Slalom Ski | | | Fabricating | 8 | 6 | 336 | | Finishing | 1 | 1 | 48 | #### Assignment: Optimization Problem (A) **Problem Statement:** Given that the profit for a trick ski is $30 and for a slalom ski is $40, determine the number of each type of ski that should be manufactured daily to achieve maximum profit. Calculate the maximum profit and the quantities required. **Solution:** The maximum profit is $_______. The maximum profit occurs when _______ trick skis and _______ slalom skis are produced. *Note: Fill in the blanks with the values you calculate as part of your solution.*
Transcribed Image Text:### Water Ski Manufacturing Constraints and Profit Optimization A manufacturing company produces two types of water skis: trick skis and slalom skis. The labor-hours required for manufacturing these skis and the maximum available labor-hours per day are detailed in the table below: | Department | Labor-Hours per Ski | | Maximum Labor-Hours Available per Day | |--------------|---------------------|------------|----------------------------------------| | | Trick Ski | Slalom Ski | | | Fabricating | 8 | 6 | 336 | | Finishing | 1 | 1 | 48 | #### Assignment: Optimization Problem (A) **Problem Statement:** Given that the profit for a trick ski is $30 and for a slalom ski is $40, determine the number of each type of ski that should be manufactured daily to achieve maximum profit. Calculate the maximum profit and the quantities required. **Solution:** The maximum profit is $_______. The maximum profit occurs when _______ trick skis and _______ slalom skis are produced. *Note: Fill in the blanks with the values you calculate as part of your solution.*
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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 Maximum Labor-Hours Available per Day Trick Ski Slalom Ski Department Fabricating 8 6 336 Finishing 1 1 48 Answer parts (A), (B), and (C) below. (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 The maximum occurs when trick skis and slalom skis are produced.
Transcribed Image Text: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 Maximum Labor-Hours Available per Day Trick Ski Slalom Ski Department Fabricating 8 6 336 Finishing 1 1 48 Answer parts (A), (B), and (C) below. (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 The maximum occurs when trick skis and slalom skis are produced.
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