hello,
friends.
here i submit my Optimization problem data.
please try and send me as fast as possible the answer of this in matlab coding.
please use MATLAB programme.
friends.
here i submit my Optimization problem data.
please try and send me as fast as possible the answer of this in matlab coding.
please use MATLAB programme.
Problem 3
:
An oil company produces three brands of oils: Regular, Multigrade and Supreme. Each brand of oil is composed of one or more of four crude stocks, each having a different viscosity index. The relevant data is:
Crude Stock Viscosity index Cost ($/barrel) Supply per day (barrels)
1 20 7.1 1000
2 40 8.5 1100
3 30 7.7 1200
4 55 9.00 1100
Each brand of oil must satisfy a minimum standard for viscosity index and each brand thus sells at a different price. The relevant data concerning the three brands are:
Brand Minimum Viscosity Index Selling Price ($/barrel)
Regular 25 8.50
Multigrade 35 9.00
Supreme 50 10.00
One of three scenarios can occur:
Low demand (prob. =0.2) Med. demand (prob. =0.5) High demandprob.=0.3)
Regular 1800 2000 2100
Multigrade 1300 1500 1600
Supreme 650 750 800
The company cannot sell more than its demand. Also any unused crude oil is disposed off at no cost. The decision of buying crude stock is taken well in advance and thus the company does not know what scenario holds at the time of buying crude stock. However at the time of production of oil the company knows the exact demand.
How much of crude stock must the company buy in order to maximize its expected profit?
Crude Stock Viscosity index Cost ($/barrel) Supply per day (barrels)
1 20 7.1 1000
2 40 8.5 1100
3 30 7.7 1200
4 55 9.00 1100
Each brand of oil must satisfy a minimum standard for viscosity index and each brand thus sells at a different price. The relevant data concerning the three brands are:
Brand Minimum Viscosity Index Selling Price ($/barrel)
Regular 25 8.50
Multigrade 35 9.00
Supreme 50 10.00
One of three scenarios can occur:
Low demand (prob. =0.2) Med. demand (prob. =0.5) High demandprob.=0.3)
Regular 1800 2000 2100
Multigrade 1300 1500 1600
Supreme 650 750 800
The company cannot sell more than its demand. Also any unused crude oil is disposed off at no cost. The decision of buying crude stock is taken well in advance and thus the company does not know what scenario holds at the time of buying crude stock. However at the time of production of oil the company knows the exact demand.
How much of crude stock must the company buy in order to maximize its expected profit?