Question

A company manufactures two products X and Y by means of two processes A and B. The maximum capacity of process A is 1750 hours and of process B 4000 hours. Each unit of product X requires 3 hours in A and 2 hours in B, while each unit of product Y requires 1 hour in A and 4 in B. Use the algebraic method to calculate how many units of products X and Y are produced if the maximum capacity available is utilized?

Answer 1

A=3X=1750
B=2X=4000
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A=Y=1750
B=4Y=4000
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3X+Y=1750
2X+4Y=4000
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-Solve for x,y when x=0 and y=0
-Plug in and solve equations

Answer 2

x= 583.33
y=1000

Answer 3

Nice solving