The firm produces four types of machines A, B, C and D. This firm requires two types of raw materials and certain working hours for the production of these machines, as shown in the table below: A B C D Raw material-I 8 14 10 Raw material-II 2 4 7 Labor time ( hours) 2 1 3 1 The company has 800 tons of I-RM raw materials and 400 tons of II-RM raw materials and 150 working hours/week. The cost of a ton of raw materials is 2000 and 4000 dinars The cost of the hour of work is 1000 dinars, and the four machines are sold in the markets respectively 40,000, 60,000, 63,000 and 45,000 dinars/machine. Find how many machines of each type can be produced to increase profit
The firm produces four types of machines A, B, C and D. This firm requires two types of raw materials and certain working hours for the production of these machines, as shown in the table below: A B C D Raw material-I 8 14 10 Raw material-II 2 4 7 Labor time ( hours) 2 1 3 1 The company has 800 tons of I-RM raw materials and 400 tons of II-RM raw materials and 150 working hours/week. The cost of a ton of raw materials is 2000 and 4000 dinars The cost of the hour of work is 1000 dinars, and the four machines are sold in the markets respectively 40,000, 60,000, 63,000 and 45,000 dinars/machine. Find how many machines of each type can be produced to increase profit
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Transcribed Image Text:The firm produces four types of machines A, B, C and D. This firm
requires two types of raw materials and certain working hours for the
production of these machines, as shown in the table below:
A
В
D
Raw material-I
8
14
10
Raw material-II
2
4
7
Labor time ( hours)
2
1
3
1
The company has 800 tons of l-RM raw materials and 400 tons of II-RM
raw materials and
150 working hours/week. The cost of a ton of raw materials is 2000
and 4000 dinars
The cost of the hour of work is 1000 dinars, and the four machines are
sold in the markets
respectively 40,000, 60,000, 63,000 and 45,000 dinars/machine. Find
how many machines of each type can be produced to increase profit
(Answer: 65, 20, 0, 0, 1210,000).
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