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Your friend is making piñatas to sell at a craft fair. It takes 2 hours to make a mini piñata and 2.5 hours to make a large piñata. Your friend will make $10 profit for each mini piñata and $22 profit for each large piñata sold. You friend has no more than 30 hours available to make piñatas and wants to have at least 12 piñatas to sell. Let = number - of mini piñatas and y = number of large piñatas The goal is to maximize profits. How many of each size piñata should be made to maximize profit?

Your friend is making piñatas to sell at a craft fair. It takes 2 hours to make a mini piñata and 2.5 hours to make a large piñata. Your friend will make $10 profit for each mini piñata and $22 profit for each large piñata sold. You friend has no more than 30 hours available to make piñatas and wants to have at least 12 piñatas to sell. Let = number - of mini piñatas and y = number of large piñatas The goal is to maximize profits. How many of each size piñata should be made to maximize profit?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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What is the objective function? What are all of the vertices? How many of each type of piñata does Sammie need to maximize the profit? What is the maximum profit?
Your friend is making piñatas to sell at a craft fair. It takes 2 hours to make a mini piñata and 2.5 hours to make a large piñata. Your friend will make $10 profit for each mini piñata and $22 profit for each large piñata sold. You friend has no more than 30 hours available to make piñatas and wants to have at least 12 piñatas to sell. Let x = number of mini piñatas and y = number of large piñatas The goal is to maximize profits. How many of each size piñata should be made to maximize profit?
Transcribed Image Text:Your friend is making piñatas to sell at a craft fair. It takes 2 hours to make a mini piñata and 2.5 hours to make a large piñata. Your friend will make $10 profit for each mini piñata and $22 profit for each large piñata sold. You friend has no more than 30 hours available to make piñatas and wants to have at least 12 piñatas to sell. Let x = number of mini piñatas and y = number of large piñatas The goal is to maximize profits. How many of each size piñata should be made to maximize profit?
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