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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) i. 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 find each point.

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) i. 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 find each point.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 41E
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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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