JJ owns a company that makes candles. The three most popular candles are created using a combination of the same three base scents: citrus, lavender, and vanilla. The makeup of these candles is given below: Candle Citrus Scent Lavender Scent vanilla Scent Profit per Candle Citrus Burst 80% 20% 0% $5.50 Lemon Cookie 85% $5.25 15% 0% Floral Breeze 20% 70% 20% $5.75 Formulate the linear program for the above problem to maximize profit. Do not solve. All constraints must be in proper linear programming format to receive credit. Decision Variable descriptions: X:: Number of Citrus Burst candles X2: Number of Lemon Cookie candles X3: Number of Floral Breeze candles A.) Which of these is the objective function? [Select] B.) How would you write a constraint specifying that lavender scent makes up at least 20% of the cotal components? [ Select] c.) JJ's marketing department has estimated that it will need at least 60 candles to meet the expected demand. How would you write a constraint to include this? [Select] D.) How could you write a constraint specifying that JJ makes exactly as many Lemon Cookie candles as he makes of Floral Breeze candles? [Select ]

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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JJ owns a company that makes candles. The three most popular candles are created using a
combination of the same three base scents: citrus, lavender, and vanilla. The makeup of these
candles is given below:
Citrus Scent Lavender Scent vanilla Scent Profit per Candle
Candle
Citrus Burst
80%
20%
0%
$5.50
Lemon Cookie
15%
0%
85%
$5.25
Floral Breeze
20%
70%
20%
$5.75
Formulate the linear program for the above problem to maximize profit. Do not solve. All constraints
must be in proper linear programming format to receive credit.
Decision Variable descriptions:
X1: Number of Citrus Burst candles
X2: Number of Lemon Cookie candles
X3: Number of Floral Breeze candles
A.) Which of these is the objective function? [ Select ]
B.) How would you write a constraint specifying that lavender scent makes up at least 20% of the
total components? [Select]
C.) JJ's marketing department has estimated that it will need at least 60 candles to meet the
expected demand. How would you write a constraint to include this? [ Select]
D.) How could you write a constraint specifying that JJ makes exactly as many Lemon Cookie
candles as he makes of Floral Breeze candles? [Select ]
Transcribed Image Text:JJ owns a company that makes candles. The three most popular candles are created using a combination of the same three base scents: citrus, lavender, and vanilla. The makeup of these candles is given below: Citrus Scent Lavender Scent vanilla Scent Profit per Candle Candle Citrus Burst 80% 20% 0% $5.50 Lemon Cookie 15% 0% 85% $5.25 Floral Breeze 20% 70% 20% $5.75 Formulate the linear program for the above problem to maximize profit. Do not solve. All constraints must be in proper linear programming format to receive credit. Decision Variable descriptions: X1: Number of Citrus Burst candles X2: Number of Lemon Cookie candles X3: Number of Floral Breeze candles A.) Which of these is the objective function? [ Select ] B.) How would you write a constraint specifying that lavender scent makes up at least 20% of the total components? [Select] C.) JJ's marketing department has estimated that it will need at least 60 candles to meet the expected demand. How would you write a constraint to include this? [ Select] D.) How could you write a constraint specifying that JJ makes exactly as many Lemon Cookie candles as he makes of Floral Breeze candles? [Select ]
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