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This is the app page of ODMO program for Minimizing servietes cost in a conference
A commercial bank has started lending to businesses of small and medium scale in 10 business types for the next year. The information of business types is showed in the following table where
P
i
marks the growth forecast rate corresponding to business type D
i
. If P
i
is larger than 1 then D
i
is predicted to be upturn in the next year, and inverse is downturn (P
i
∈ [0, 2])
Q
i
(billion VND) denotes the business scale (small and medium).
Business type
Sign
Business scale
(billion VND)
Upturn or
downturn
Growth forecast rate
(max. = 2, min. = 0)
Smart agriculture
D
1
Q
1
=
Upturn
P
1
=
Wind power
D
2
Q
2
=
Upturn
P
2
=
Real estate
(potential area)
D
3
Q
3
=
Upturn
P
3
=
Electronic commerce
D
4
Q
4
=
Upturn
P
4
=
Logistics technology
D
5
Q
5
=
Upturn
P
5
=
Financial investment
D
6
Q
6
=
Downturn
P
6
=
Heavy industry
(Metallurgical)
D
7
Q
7
=
Downturn
P
7
=
Solar power
D
8
Q
8
=
Downturn
P
8
=
Beer, alcohol,
refreshments
D
9
Q
9
=
Downturn
P
9
=
Logging
D
10
Q
10
=
Downturn
P
10
=
The interest rate from loan amount is r
i
for the business type D
i
. This bank has the budget of 876 billion VND. It decides to offer loan packages to customers with loan package y
i
(billion VND) to customer i. To guarantee customers’ right, the amount of loan package y
i
must be in range from 20% to 120% of Q
i
.
How much of each loan package should they offer to each customer to maximize profit?
[CLICK] here to solve the optimization problem
Solve Problem
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