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Quantities of raw materials

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Reference no: EM13894845

Part one

RMS, Inc. produces three raw materials that are blended together (mixed together) to produce two products: a fuel additive and a solvent base. Each kilogram of fuel additive is a mixture of 2/5 kilogram of material 1 and 3/5 kilogram of material 3. A kilogram of solvent base is a mixture of 1/2 kilogram of material 1, 1/5 kilogram of material 2, and 3/10 kilogram of material 3. The profit is $40 for each kilogram of fuel additive produced and $30 for each kilogram of solvent base produced.

RMS's has available the following quantities of raw materials:

Material 1

20 Kilograms

Material 2

 5 Kilograms

Material 3

21 Kilograms

What is the linear programming model for this problem? What is the maximum profit?

Part two

Referring to the following table, what is the minimum transportation cost?

Values not in the margins are cost per unit, $.

 

 

DESTINATION

 

 

ORIGIN

1

2

3

SUPPLY

1

10

14

10

210

2

12

17

20

140

3

11

11

12

150

4

18

8

13

160

DEMAND

220

220

220

 

Reference no: EM13894845

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