Introduction: A bar of soap uses 203 of honey and a bottle of hand cream uses 30g of honey. The group only has 4000g of honey. Each bar of soap contains 15 grams of coconut oil and a bottle of hand cream contains 10 grams of coconut oil. The group has access to 2 000g of coconut oil. Orders for 50 bars of soap and 20 bottles of hand cream have already been received. A bar of soap will make a $5 profit and a bottle of hand cream will make a $3 profit. Task 1 Given the current constraints determine the optimal number of bars of soap and bottles of hand cream the group should make in order to maximize their profit. Task 2 The group had a meeting with a business mentor who suggested that they should increase the price of their products so that their profit margin would increase. If the group decide to increase the price of each item, to change the profits to $6 for a bar of soap and S4 for a bottle of hand cream, discuss the implication this will have on the number of bars of soap and bottles of hand cream the group team should produce to maximize profit. Also, explain any assumptions and imitations of your solutions.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Hi there, I need help with math "Linear Programming" please kindly help me with my practice homework as I really need to know how to do it. please help me by fully explaining with step by step discussion. please use Desmos grapging when making graph.   

Introduction:
A bar of soap uses 203 of honey and a bottle of hand cream uses 30g of
honey. The group only has 4000g of honey.
Each bar of soap contains 15 grams of coconut oil and a bottle of hand
cream contains 10 grams of coconut oil. The group has access to 2 000g of
coconut oil.
Orders for 50 bars of soap and 20 bottles of hand cream have already been
received.
A bar of soap will make a $5 profit and a bottle of hand cream will make a
$3 profit.
Task 1
Given the current constraints determine the optimal number of bars of soap
and bottles of hand cream the group should make in order to maximize
their profit.
Task 2
The group had a meeting with a business mentor who suggested that they
should increase the price of their products so that their profit margin would
increase. If the group decide to increase the price of each item, to change
the profits to $6 for a bar of soap and S4 for a bottle of hand cream,
discuss the implication this will have on the number of bars of soap and
bottles of hand cream the group team should produce to maximize profit.
Also, explain any assumptions and imitations of your solutions.
Transcribed Image Text:Introduction: A bar of soap uses 203 of honey and a bottle of hand cream uses 30g of honey. The group only has 4000g of honey. Each bar of soap contains 15 grams of coconut oil and a bottle of hand cream contains 10 grams of coconut oil. The group has access to 2 000g of coconut oil. Orders for 50 bars of soap and 20 bottles of hand cream have already been received. A bar of soap will make a $5 profit and a bottle of hand cream will make a $3 profit. Task 1 Given the current constraints determine the optimal number of bars of soap and bottles of hand cream the group should make in order to maximize their profit. Task 2 The group had a meeting with a business mentor who suggested that they should increase the price of their products so that their profit margin would increase. If the group decide to increase the price of each item, to change the profits to $6 for a bar of soap and S4 for a bottle of hand cream, discuss the implication this will have on the number of bars of soap and bottles of hand cream the group team should produce to maximize profit. Also, explain any assumptions and imitations of your solutions.
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