Production schedules

The monthly production schedule of the two companies totaled 360 machines. When the first company met its plan at 105% and the second at 117%, the two companies produced 402 machines.
Determine the original monthly schedules of both businesses.

Final Answer:

a =  160
b =  200

Step-by-step explanation:


a+b=360
1.05a + 1.17b = 402

a+b=360
1.05·a + 1.17·b = 402

a+b = 360
1.05a+1.17b = 402

Pivot: Row 1 ↔ Row 2
1.05a+1.17b = 402
a+b = 360

Row 2 - 1/1.05 · Row 1 → Row 2
1.05a+1.17b = 402
-0.11b = -22.86


b = -22.85714286/-0.11428571 = 200
a = 402-1.17b/1.05 = 402-1.17 · 200/1.05 = 160

a = 160
b = 200

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