a. What is the optimal amount of chemical A the company should purchase? If needed, round your answer to a whole number. liters b. What is the optimal amount of chemical C the company should reprocess? If needed, round your answer to a whole number. ______liters c. What is the optimized profit to the company? If needed, round your answer to a whole number. $_

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Molecular Products produces three chemicals: B, C, and D. The company begins by purchasing chemical A for a cost of
$650 per 100 liters. For an additional cost of $320 and the use of three hours of skilled labor, 100 liters of A can be
transformed into 40 liters of C and 60 liters of B. Chemical C can either be sold or processed further. It costs $130 and one
hour of skilled labor to process 100 liters of C into 60 liters of D and 40 liters of B. For each chemical, the selling price per
100 liters and the maximum amount (in 100s of liters) that can be sold are listed in the file P04_93.xlsx. A maximum of 200
labor hours is available. Determine how Molecular can maximize its profit.
a. What is the optimal amount of chemical A the company should purchase? If needed, round your answer to a whole
number.
liters
b. What is the optimal amount of chemical C the company should reprocess? If needed, round your answer to a whole
number.
_______liters
c. What is the optimized profit to the company? If needed, round your answer to a whole number. $_
Molecular
Products data
Note: all units of
product are in
100s of liters
Product
Selling prices
Maximum sales
B
с
30
$1,250 $1,640 $2,680
D
60
40
Transcribed Image Text:Molecular Products produces three chemicals: B, C, and D. The company begins by purchasing chemical A for a cost of $650 per 100 liters. For an additional cost of $320 and the use of three hours of skilled labor, 100 liters of A can be transformed into 40 liters of C and 60 liters of B. Chemical C can either be sold or processed further. It costs $130 and one hour of skilled labor to process 100 liters of C into 60 liters of D and 40 liters of B. For each chemical, the selling price per 100 liters and the maximum amount (in 100s of liters) that can be sold are listed in the file P04_93.xlsx. A maximum of 200 labor hours is available. Determine how Molecular can maximize its profit. a. What is the optimal amount of chemical A the company should purchase? If needed, round your answer to a whole number. liters b. What is the optimal amount of chemical C the company should reprocess? If needed, round your answer to a whole number. _______liters c. What is the optimized profit to the company? If needed, round your answer to a whole number. $_ Molecular Products data Note: all units of product are in 100s of liters Product Selling prices Maximum sales B с 30 $1,250 $1,640 $2,680 D 60 40
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