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Linear Programming Name: 1. A pottery shop is gearing up for the spring season and is ready to make bird baths. They produce two different bird baths, one glazed and one not glazed. It takes the potter a half hour to make an unglazed bird bath and one hour to make a glazed bird bath. To dry the baths, unglazed takes 3 hours in the kiln while glazed takes 18 hours. The potter works for 8 hours a day. The kiln can be on for a maximum of 60 hours at a time. If the shop makes $10 profit for unglazed, and $40 profit for glazed, how many of each pot should they make to maximize profit? g. Define the variables. x , and y h. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them)

Linear Programming Name: 1. A pottery shop is gearing up for the spring season and is ready to make bird baths. They produce two different bird baths, one glazed and one not glazed. It takes the potter a half hour to make an unglazed bird bath and one hour to make a glazed bird bath. To dry the baths, unglazed takes 3 hours in the kiln while glazed takes 18 hours. The potter works for 8 hours a day. The kiln can be on for a maximum of 60 hours at a time. If the shop makes $10 profit for unglazed, and $40 profit for glazed, how many of each pot should they make to maximize profit? g. Define the variables. x , and y h. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them)

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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Linear Programming Name: 1. A pottery shop is gearing up for the spring season and is ready to make bird baths. They produce two different bird baths, one glazed and one not glazed. It takes the potter a half hour to make an unglazed bird bath and one hour to make a glazed bird bath. To dry the baths, unglazed takes 3 hours in the kiln while glazed takes 18 hours. The potter works for 8 hours a day. The kiln can be on for a maximum of 60 hours at a time. If the shop makes $10 profit for unglazed, and $40 profit for glazed, how many of each pot should they make to maximize profit? g. Define the variables. x= and y= h. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them) List the vertices of the feasible region. If you can not accurately read them off of your graph, you will need to solve a system of equations to i. d each point. j. Give the profit equation k. Test each vertex in the profit equation. Write a statement describing how many of each item should be made in order to 1. maximize the profit?
Transcribed Image Text:Linear Programming Name: 1. A pottery shop is gearing up for the spring season and is ready to make bird baths. They produce two different bird baths, one glazed and one not glazed. It takes the potter a half hour to make an unglazed bird bath and one hour to make a glazed bird bath. To dry the baths, unglazed takes 3 hours in the kiln while glazed takes 18 hours. The potter works for 8 hours a day. The kiln can be on for a maximum of 60 hours at a time. If the shop makes $10 profit for unglazed, and $40 profit for glazed, how many of each pot should they make to maximize profit? g. Define the variables. x= and y= h. Write the constraints as inequalities and graph them (hint: find the x and y intercepts to graph them) List the vertices of the feasible region. If you can not accurately read them off of your graph, you will need to solve a system of equations to i. d each point. j. Give the profit equation k. Test each vertex in the profit equation. Write a statement describing how many of each item should be made in order to 1. maximize the profit?
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