Operational Research - tasks
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Popis:
The Firm completes four kinds of sweet boxes. To complete the boxes, the firm uses 6 kinds of candies. Composition of sweet boxes and capacities are given in table.
Tasks:
1. Write down the mathematical model maximizing firm’s profit.
2. Solve the problem using Excel Solver or winqsb - find the optimal production program. How many of each sweet boxes will be produced?
3. Which substance is for the production crucial?
4. How the solution will be changed if:
a. Sweet box 1 profit increases up to 160 Kč and sweet box 3 profit decreases by 10%.
b. Capacity of Candy 2 increases by 1000 pieces and capacity of Candy 3 decreases by 20%.
c. Sweet box 3 composition changes into: 3 pc Candy 2, 3 pc. Candy 3, 3 pc Candy 4, 3 pc. Candy 5.
d. Candy 6 is not available.
Klíčová slova:
research
assignment
tasks
transportation
costs
solution
crucial
substance
Obsah:
- 1. Write down the mathematical model maximizing firm’s profit.
2. Solve the problem using Excel Solver or winqsb - find the optimal production program. How many of each sweet boxes will be produced?
3. Which substance is for the production crucial?
4. How the solution will be changed if:
a. Sweet box 1 profit increases up to 160 Kč and sweet box 3 profit decreases by 10%.
b. Capacity of Candy 2 increases by 1000 pieces and capacity of Candy 3 decreases by 20%.
c. Sweet box 3 composition changes into: 3 pc Candy 2, 3 pc. Candy 3, 3 pc Candy 4, 3 pc. Candy 5.
d. Candy 6 is not available.
For the next transportation problem:
a) Find the initial solution using NW method and compute the total transportation cost.
b) Find the initial solution using index method and compute the total transportation cost.
c) Find the optimal solution and the minimal transportation costs
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