A chemist makes a component of orchid fertilizer that requires two secret ingredients labeled as A and B. She sells ingredient A at Php 200 per kilogram and ingredient B at Php 350 per kilogram. Per production, a kilogram of ingredient A requires 4 units of special pollen while 3 units for each kilogram of ingredient B. Suppose the excess of ingredient B over ingredient A per production should be at most 4 units, and there are only 24 units of special pollen available per production, how many kilograms of ingredient A and ingredient B should be made per production to maximize the sales?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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A chemist makes a component of orchid fertilizer that requires two secret ingredients labeled as A and B. She sells ingredient A at Php 200 per kilogram and ingredient B at Php 350 per kilogram. Per production, a kilogram of ingredient A requires 4 units of special pollen while 3 units for each kilogram of ingredient B. Suppose the excess of ingredient B over ingredient A per production should be at most 4 units, and there are only 24 units of special pollen available per production, how many kilograms of ingredient A and ingredient B should be made per production to maximize the sales?

Directions: Read and understand the following
problems. Generate the full linear programming
model for each and determine the optimal
solution and the maximum/minimum value of the
objective function. Show the graph as well
2.) A chemist makes a component of orchid
fertilizer that requires two secret ingredients
labeled as A and B. She sells ingredient A at Php
200 per kilogram and ingredient B at Php 350 per
kilogram. Per production, a kilogram of ingredient
A requires 4 units of special pollen while 3 units
for each kilogram of ingredient B. Suppose the
excess of ingredient B over ingredient A per
production should be at most 4 units, and there
are only 24 units of special pollen available per
production, how many kilograms of ingredient A
and ingredient B should be made per production
to maximize the sales?
Transcribed Image Text:Directions: Read and understand the following problems. Generate the full linear programming model for each and determine the optimal solution and the maximum/minimum value of the objective function. Show the graph as well 2.) A chemist makes a component of orchid fertilizer that requires two secret ingredients labeled as A and B. She sells ingredient A at Php 200 per kilogram and ingredient B at Php 350 per kilogram. Per production, a kilogram of ingredient A requires 4 units of special pollen while 3 units for each kilogram of ingredient B. Suppose the excess of ingredient B over ingredient A per production should be at most 4 units, and there are only 24 units of special pollen available per production, how many kilograms of ingredient A and ingredient B should be made per production to maximize the sales?
8:04 PM | 0.6KB/s { ©
Assignment details
GEC 004-ARCH11S10 - Mathematics in the Mode..
Submission & Rubric
Description
Directions: Read and understand the following
problems. Generate the full linear programming
model for each and determine the optimal
solution and the maximum/minimum value of the
objective function. Show the graph as well. ( 20
points each ). Attach the Honor Pledge for Exam
before uploading it.
1.) A retiree has 60 garden plots on which he
could plant cabbage and pechay. His friend told
him that he could make a profit of Php 100 per
slot of cabbage and Php 90 per slot of pechay. His
household could not possibly take care of more
than20 plots of cabbage and 40 plots of pechay.
How many plots of each vegetable should he
plant for him to have a maximum profit? What is
the maximum profit?
2.) A chemist makes a component of orchid
fertilizer that requires two secret ingredients
labeled as A and B. She sells ingredient A at Php
200 per kilogram and ingredient B at Php 350 per
kilogram. Per production, a kilogram of ingredient
A requires 4 units of special pollen while 3 units
for each kilogram of ingredient B. Suppose the
excess of ingredient B over ingredient A per
production should be at most 4 units, and there
are only 24 units of special pollen available per
production, how many kilograms of ingredient A
and ingredient B should be made per production
to maximize the sales?
Submit assignment
Transcribed Image Text:8:04 PM | 0.6KB/s { © Assignment details GEC 004-ARCH11S10 - Mathematics in the Mode.. Submission & Rubric Description Directions: Read and understand the following problems. Generate the full linear programming model for each and determine the optimal solution and the maximum/minimum value of the objective function. Show the graph as well. ( 20 points each ). Attach the Honor Pledge for Exam before uploading it. 1.) A retiree has 60 garden plots on which he could plant cabbage and pechay. His friend told him that he could make a profit of Php 100 per slot of cabbage and Php 90 per slot of pechay. His household could not possibly take care of more than20 plots of cabbage and 40 plots of pechay. How many plots of each vegetable should he plant for him to have a maximum profit? What is the maximum profit? 2.) A chemist makes a component of orchid fertilizer that requires two secret ingredients labeled as A and B. She sells ingredient A at Php 200 per kilogram and ingredient B at Php 350 per kilogram. Per production, a kilogram of ingredient A requires 4 units of special pollen while 3 units for each kilogram of ingredient B. Suppose the excess of ingredient B over ingredient A per production should be at most 4 units, and there are only 24 units of special pollen available per production, how many kilograms of ingredient A and ingredient B should be made per production to maximize the sales? Submit assignment
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