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Table 3 Optimal values of demand, production, and stock level with relation to time

From: Optimal dynamic production and price for reliability-dependent imperfect production with inventory-level-dependent demand in uncertain environment

t

J ∗ (t)

X ∗ (t)

U ∗ (t)

D ∗ (t)

s ∗ (t)

0

0

0

291.46

17

10

1

-264.90

280.11

328.09

25.08

11.13

2

-386.49

589.54

366.61

34.00

12.31

3

-312.01

927.50

407.09

43.76

13.56

4

20

1,295.73

449.66

54.41

14.87

5

682.33

1,695.36

494.41

65.91

16.25

6

1,757.00

2,127.56

541.45

78.52

17.69

7

3,339.92

2,593.92

590.90

92.05

19.22

8

5,540.72

3,095.54

642.88

106.62

20.82