(a) (b) Formulate a mathematical model to maximize Mama Rita's monthly profit. Solve the mathematical model by using the Big M Method.

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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Please answer part a, b

2. Mama Rita uses leather and synthetic to produce three types of handmade products
which are cosmetic pouch, long purse and tote bag. A cosmetic pouch requires 25
cm² of leather, 10 cm² of synthetic and 2 hours of labor. A long purse requires 30 cm²
of leather, 20 cm² of synthetic and 3 hours of labor. A tote bag requires 50 cm² of
leather, 25 cm² of synthetic and 6 hours of labor. Each cosmetic pouch sells for
RM180, each long purse sells for RM240, and each tote bag sells for RM450. All
products produced by Mama Rita can be sold. At present, Mama Rita has 1 m² of
leather, 1.2 m² of synthetic and 160 hours of labor monthly. Part time workers can
be hired at a cost of RM10 per hour. Market demand requires that the company
produce at least 20 cosmetic pouches and 30 long purses cosmetic pouches monthly,
but demand for tote bags are unlimited.
(a)
Formulate a mathematical model to maximize Mama Rita's monthly profit.
(b)
Solve the mathematical model by using the Big M Method.
Transcribed Image Text:2. Mama Rita uses leather and synthetic to produce three types of handmade products which are cosmetic pouch, long purse and tote bag. A cosmetic pouch requires 25 cm² of leather, 10 cm² of synthetic and 2 hours of labor. A long purse requires 30 cm² of leather, 20 cm² of synthetic and 3 hours of labor. A tote bag requires 50 cm² of leather, 25 cm² of synthetic and 6 hours of labor. Each cosmetic pouch sells for RM180, each long purse sells for RM240, and each tote bag sells for RM450. All products produced by Mama Rita can be sold. At present, Mama Rita has 1 m² of leather, 1.2 m² of synthetic and 160 hours of labor monthly. Part time workers can be hired at a cost of RM10 per hour. Market demand requires that the company produce at least 20 cosmetic pouches and 30 long purses cosmetic pouches monthly, but demand for tote bags are unlimited. (a) Formulate a mathematical model to maximize Mama Rita's monthly profit. (b) Solve the mathematical model by using the Big M Method.
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