IT'S MY DREAM is a company that produces well-known skincare every where. There are 3 types of well-known products, namely Day Cream (DC), Night Cream (NC) and Glow Serum (GS). It is known that the production process must go through 3 main stages, namely: Mixing (M), Pot/Bottle Filling (F) and Packaging (P). In producing each type These products require costs (per unit) at each stage of the production process. Cost production for each type of product at each stage of production is as follows: Day Cream costs: $2 (M), $4.5 (F), $2 (P); Night Cream costs: $3 (M), $2.5 (F), $5 (P) and Glow Serum costs: $5(M), $2.5(F), $3 (P). In addition, party management has made a policy regarding the allocation of production costs for each stage of the process production, namely at the Mixing stage (39%), Pot/Bottle Filling (27%), Packaging (34%) of the total cost of $2200. a. Formulate the information given above in the form of a system of linear equations and matrix b. Using the Cramer's Rule Method, determine how many units can be produced by company for each type of skincare product by considering the cost allocation existing production. c. Which type of skincare product has the least amount of production? Give an explanation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Alat Add-on Bantuan
Terakhir diedit beberapa detik lalu
B IU
A
三 ニ三▼E
Arial
11
4 1
5 6 I71
8 9
1 10I 11 1
12
13
14
15
16 17 18
1
211
IT'S MY DREAM is a company that produces well-known skincare every where. There are 3.
types of well-known products, namely Day Cream (DC), Night Cream (NC) and Glow Serum
(GS). It is known that the production process must go through 3 main stages, namely: Mixing
(M), Pot/Bottle Filling (F) and Packaging (P). In producing each type These products require
costs (per unit) at each stage of the production process. Cost production for each type of
product at each stage of production is as follows: Day Cream costs: $2 (M), $4.5 (F), $2 (P);
Night Cream costs: $3 (M), $2.5 (F), $5 (P) and Glow Serum costs: $5(M), $2.5(F), $3 (P). In
addition, party management has made a policy regarding the allocation of production costs
for each stage of the process production, namely at the Mixing stage (39%), Pot/Bottle Filling
(27%), Packaging (34%) of the total cost of $2200.
a. Formulate the information given above in the form of a system of linear equations and
matrix
b. Using the Cramer's Rule Method, determine how many units can be produced by
company for each type of skincare product by considering the cost allocation existing
production.
c. Which type of skincare product has the least amount of production? Give an explanation.
31°C
Transcribed Image Text:Alat Add-on Bantuan Terakhir diedit beberapa detik lalu B IU A 三 ニ三▼E Arial 11 4 1 5 6 I71 8 9 1 10I 11 1 12 13 14 15 16 17 18 1 211 IT'S MY DREAM is a company that produces well-known skincare every where. There are 3. types of well-known products, namely Day Cream (DC), Night Cream (NC) and Glow Serum (GS). It is known that the production process must go through 3 main stages, namely: Mixing (M), Pot/Bottle Filling (F) and Packaging (P). In producing each type These products require costs (per unit) at each stage of the production process. Cost production for each type of product at each stage of production is as follows: Day Cream costs: $2 (M), $4.5 (F), $2 (P); Night Cream costs: $3 (M), $2.5 (F), $5 (P) and Glow Serum costs: $5(M), $2.5(F), $3 (P). In addition, party management has made a policy regarding the allocation of production costs for each stage of the process production, namely at the Mixing stage (39%), Pot/Bottle Filling (27%), Packaging (34%) of the total cost of $2200. a. Formulate the information given above in the form of a system of linear equations and matrix b. Using the Cramer's Rule Method, determine how many units can be produced by company for each type of skincare product by considering the cost allocation existing production. c. Which type of skincare product has the least amount of production? Give an explanation. 31°C
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