1.1.6 A company produces four products: W_1, W_2, W_3, and W_4. Two of the many inputs used in the production process are limited. These limits are: measure I-90000 units, while measure II - 120000 units. The input of limited means per unit of production is given in the table: Unit expenditures inputs used in the production W_1 W_2 W_3 W_4 I 5 2 2 1.5 || 2 2 4 1.5 The profit achieved on a unit of production product is respectively: 2,2,1 and 3 USD. Determine the size of production of each product so as to obtain the greatest profit. Give this profit at the optimum assortment.

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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1.1.6 A company produces four products: W_1, W_2, W_3, and W_4. Two of the many inputs used in
the production process are limited. These limits are: measure 1 - 90000 units, while measure II -
120000 units. The input of limited means per unit of production is given in the table:
Unit expenditures
inputs used in the
production
W_1
W_2
W_3
W_4
I
5
2
1.5
2
||
2
2
1.5
4
The profit achieved on a unit of production product is respectively: 2,2,1 and 3 USD. Determine the
size of production of each product so as to obtain the greatest profit. Give this profit at the optimum
assortment.
Transcribed Image Text:1.1.6 A company produces four products: W_1, W_2, W_3, and W_4. Two of the many inputs used in the production process are limited. These limits are: measure 1 - 90000 units, while measure II - 120000 units. The input of limited means per unit of production is given in the table: Unit expenditures inputs used in the production W_1 W_2 W_3 W_4 I 5 2 1.5 2 || 2 2 1.5 4 The profit achieved on a unit of production product is respectively: 2,2,1 and 3 USD. Determine the size of production of each product so as to obtain the greatest profit. Give this profit at the optimum assortment.
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