a. Write the following system in matrix form and solve it 2x1-2x2 + 4.5x3 = 20 %3D -2x, + 4x3 = 5 3x2 - 2x3 = 2

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CAMON 11
Al
16M AI Clear Selfie
a. Write the following system in matrix form and solve it
2x1 - 2x2 + 4.5x3 = 20
-2x, + 4x3 = 5
Зx, — 2х3 3 2
b. Assume the following amount of raw materials and labor required for production of a unit
of products A and B,
PRODUCT A
PRODUCT B
Pound of raw materials
Hours of labor
3
4
i.
If the available amount of raw materials and labor are 13,400 pounds and 7,800 h,
determine the outputs of A and B.
i.
How do the outputs of A and B in i change if the amount of available raw
materials and labor hours are increased to 13,800 and 8,000
iii.
What amounts of raw materials and labor hours are needed for producing 1,300
units of A and 1,100 units of B?
Transcribed Image Text:CAMON 11 Al 16M AI Clear Selfie a. Write the following system in matrix form and solve it 2x1 - 2x2 + 4.5x3 = 20 -2x, + 4x3 = 5 Зx, — 2х3 3 2 b. Assume the following amount of raw materials and labor required for production of a unit of products A and B, PRODUCT A PRODUCT B Pound of raw materials Hours of labor 3 4 i. If the available amount of raw materials and labor are 13,400 pounds and 7,800 h, determine the outputs of A and B. i. How do the outputs of A and B in i change if the amount of available raw materials and labor hours are increased to 13,800 and 8,000 iii. What amounts of raw materials and labor hours are needed for producing 1,300 units of A and 1,100 units of B?
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