IT'S MY DREAM is a company that produces well-known skincare every where. There are 3 types of well-known products, name

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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 a fee of $54*200.

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 your explanation.