A company is producing four types of chocolate from 5 different ingredients – Sugar, Cocoa, Milk powder, Full cream and Vanilla. The amount of each ingredient needed for one pack of chocolate along with their daily availability are given in the table below. Profit form each type of chocolate box is $100, $150, $120 and $160 respectively. How much chocolate of each type the company should produce in a day to generate the maximum profit? Kg of ingredient used to produce 1 Pack of Dily Availability in Kg Ingredients Туре 1 Type 2 Туре 3 Туре 4 Sugar 6. 1 4 580 Cocoa 10 3 660 Milk powder 4 3 7 800 Full cream 2 7 700 Vanilla 3 2 2 1 500 Profit $100 $150 $120 $160
A company is producing four types of chocolate from 5 different ingredients – Sugar, Cocoa, Milk powder, Full cream and Vanilla. The amount of each ingredient needed for one pack of chocolate along with their daily availability are given in the table below. Profit form each type of chocolate box is $100, $150, $120 and $160 respectively. How much chocolate of each type the company should produce in a day to generate the maximum profit? Kg of ingredient used to produce 1 Pack of Dily Availability in Kg Ingredients Туре 1 Type 2 Туре 3 Туре 4 Sugar 6. 1 4 580 Cocoa 10 3 660 Milk powder 4 3 7 800 Full cream 2 7 700 Vanilla 3 2 2 1 500 Profit $100 $150 $120 $160
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 68P
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![A company is producing four types of chocolate from 5 different ingredients – Sugar, Cocoa, Milk
powder, Full cream and Vanilla. The amount of each ingredient needed for one pack of chocolate
along with their daily availability are given in the table below. Profit form each type of chocolate
box is $100, $150, $120 and $160 respectively. How much chocolate of each type the company
should produce in a day to generate the maximum profit?
Kg of ingredient used to produce 1 Pack of
Dily
Availability
in Kg
Ingredients
Туре 1
Type 2
Туре 3
Туре 4
Sugar
6.
1
3
4
580
Cocoa
10
3
660
Milk powder
4
3
7
800
Full cream
2
3
4
7
700
Vanilla
1
500
Profit
$100
$150
$120
$160](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85b618a7-061c-4acc-a0f5-de45b6eb9ca0%2Fee26f8d9-de0d-4aaf-b02e-80dc8270cf5f%2Fvzuj99e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company is producing four types of chocolate from 5 different ingredients – Sugar, Cocoa, Milk
powder, Full cream and Vanilla. The amount of each ingredient needed for one pack of chocolate
along with their daily availability are given in the table below. Profit form each type of chocolate
box is $100, $150, $120 and $160 respectively. How much chocolate of each type the company
should produce in a day to generate the maximum profit?
Kg of ingredient used to produce 1 Pack of
Dily
Availability
in Kg
Ingredients
Туре 1
Type 2
Туре 3
Туре 4
Sugar
6.
1
3
4
580
Cocoa
10
3
660
Milk powder
4
3
7
800
Full cream
2
3
4
7
700
Vanilla
1
500
Profit
$100
$150
$120
$160
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