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A firm making production plans believes there is a 30% probability the price will be $10, a 50% probability the price will be $15, and

A firm making production plans believes there is a 30% probability the price will be $10, a 50% probability the price will be $15, and a 20% probability the price will be $20. The manager must decide whether to produce 6,000 units of output (A), 8,000 units (B) or 10,000 units (C). The following table shows 9 possible outcomes depending on the output chosen and the actual price.

Production Profit (Loss) when price is
$10 $15 $20
6,000 (A) $200 $400 $1,000
8,000 (B) $400 $600 $1,600
10,000 (C) $1,000 $800 $3,000

What is the variance if 6,000 units are produced?

Answers Options Below

  • 490,000
  • 176,400
  • 100,000
  • 68,200
  • 76,460

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