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What is the optimal manufacturing strategy

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A furniture company produces 5 different products (A,B, C, D, and E). Each product requires certain amount of linear wood, glue, stain, and production hours. The detailed requirement can be found in the table below. In addition, top management believes in diversification and requires you to produce at least one of each product.

Table 1

 

A

B

C

D

E

Resource availability (per week)

Wood (linear m.)

11

17

5

12

21

150

Glue (liters)

2

3

1

4

6

50

Staining (liters)

3

1

1

6

8

30

Working hours

3

4

2

5

6

40

Profit ($)

40

70

30

80

100

 
  1. What is the optimal manufacturing strategy?
  2. What is the total profit of you proposed strategy?

For this problem consider a possibility to obtain a decimal solution since production can start this week and end during the next one.

Make sure to include LP problem formulation (similar to lines 66-82 in RScript) in addition to R output

Reference no: EM133175383

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