Sunocoil is a company that commercializes five different types of petroleum prod
ID: 1713639 • Letter: S
Question
Sunocoil is a company that commercializes five different types of petroleum products: gasoline of grades 80, 90, and 93, diesel, and engine oil. The company receives the products from its suppliers and stores them in 9 tanks of different sizes. Sunocoil is expecting several orders from the suppliers to satisfy the demands of the following month and requires to identify the best possible way of storing the products into its tanks. Clearly, the products must be stored in the tanks without mixing them. In other words, only one type of product can be stored in each tank, but several tanks may contain the same product. Suppose that Suncoil is expecting 1,200 gallons, 700 gallons, and 1,000 gallons of gasoline of grades 80, 90, and 93, respectively 450 gallons diesel; and 1,200 gallons engine lubricant. The sizes of the tanks are given in the following table. Some of the tanks are already partially filled with a product. Tank Capacity 500 Quantity 400 | 600 | 600 | 900 00 800 800 400 Current product80-gr rade gasoline-lubricant- 0 100 300 Table 1: Tank capacities You must identify which is the best possible way of filling the tanks in such a way that the number of tanks used is minimizedExplanation / Answer
Tank no
1
2
3
4
5
6
7
8
9
Capacity
500 gl
400gl
400gl
600gl
600gl
900gl
800gl
800gl
800gl
Product initially
_
80 grade gasoline
_
_
_
_
Lubricant
_
_
Quantity
0
100 gl
0
0
0
0
300gl
0
0
Product poured
93 grade gasoline
80 grade gasoline
Lubricant
Diesel
90 grade gasoline
Lubricant
80 grade gasoline
93 grade gasoline
Step 1
Pour 500gl and fill it to the top
Pour 300gl more and fill it to the top
Pour all 450gl
Pour all 700gl
Pour 500gl more and fill it to the top
Step 2
_
_
Pour leftover 400gl lubricant and fill it to the top
_
_
_
_
Pour leftover 800gl of 80 grade gasoline and fill it to the top
Pour leftover 500gl of 93 grade gasoline and fill it to the top
Empty
By this formulation we can use only 8 out of 9 tanks and will get our purpose solved.
Tank no
1
2
3
4
5
6
7
8
9
Capacity
500 gl
400gl
400gl
600gl
600gl
900gl
800gl
800gl
800gl
Product initially
_
80 grade gasoline
_
_
_
_
Lubricant
_
_
Quantity
0
100 gl
0
0
0
0
300gl
0
0
Product poured
93 grade gasoline
80 grade gasoline
Lubricant
Diesel
90 grade gasoline
Lubricant
80 grade gasoline
93 grade gasoline
Step 1
Pour 500gl and fill it to the top
Pour 300gl more and fill it to the top
Pour all 450gl
Pour all 700gl
Pour 500gl more and fill it to the top
Step 2
_
_
Pour leftover 400gl lubricant and fill it to the top
_
_
_
_
Pour leftover 800gl of 80 grade gasoline and fill it to the top
Pour leftover 500gl of 93 grade gasoline and fill it to the top
Empty
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