**Izzie's Ice Skates Production Planning**Izzie's Ice Skates produces two kinds of ice skates: racing skates and figure skates. Each pair of racing skates produces $10 of profit and each pair of figure skates produces $12 of profit. It takes 6 hours to fabricate the racing skates and only 4 hours to fabricate the figure skates. The finishing work on a pair of figure skates takes 2 hours, while finishing a pair of racing skates takes just 1 hour. The company only has 120 hours available for fabrication work and 40 hours for the finishing work per week.**Questions:**- How many pairs of each kind of skates should they make to maximize their profit?- What is their maximum weekly profit?This text aims to help learners understand the process of optimizing production for maximum profit within given constraints.

Name: **Izzie's Ice Skates Production Planning**Izzie's Ice Skates produces
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Description: **Izzie's Ice Skates Production Planning**Izzie's Ice Skates produces two kinds of ice skates: racing skates and figure skates. Each pair of racing skates produces $10 of profit and each pair of figure skates produces $12 of profit. It takes 6 hours

Let x no. of racing skates and y no. of figure skates be produced. The given information is…

Math

Advanced Math

Izzie's Ice Skates produces two kinds of ice skates: racing skates and figure skates. Each pair of racing skates produces $10 of profit and each pair of figure skates produces $12 of profit. It takes 6 hours to fabricate the racing skates and only 4 hours to fabricate the figure skates. The finishing work on a pair of figure skates takes 2 hours, while finishing up a pair of racing skates takes just 1 hour. The company only has 120 hours available for fabrication work and 40 hours for the finishing work per week. • How many pairs of each kind of skates should they make to maximize their profit? • What is their maximum weekly profit?

Izzie's Ice Skates produces two kinds of ice skates: racing skates and figure skates. Each pair of racing skates produces $10 of profit and each pair of figure skates produces $12 of profit. It takes 6 hours to fabricate the racing skates and only 4 hours to fabricate the figure skates. The finishing work on a pair of figure skates takes 2 hours, while finishing up a pair of racing skates takes just 1 hour. The company only has 120 hours available for fabrication work and 40 hours for the finishing work per week. • How many pairs of each kind of skates should they make to maximize their profit? • What is their maximum weekly profit?

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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**Izzie's Ice Skates Production Planning**

Izzie's Ice Skates produces two kinds of ice skates: racing skates and figure skates. Each pair of racing skates produces $10 of profit and each pair of figure skates produces $12 of profit. It takes 6 hours to fabricate the racing skates and only 4 hours to fabricate the figure skates. The finishing work on a pair of figure skates takes 2 hours, while finishing a pair of racing skates takes just 1 hour. The company only has 120 hours available for fabrication work and 40 hours for the finishing work per week.

**Questions:**
- How many pairs of each kind of skates should they make to maximize their profit?
- What is their maximum weekly profit?

This text aims to help learners understand the process of optimizing production for maximum profit within given constraints.

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