Statistics Solutions

(See Steps) In the Elwyn Company, the relationship between output (Q) and the number of hours of skilled labor (S) and unskilled labor (U) is as follows:

Question: In the Elwyn Company, the relationship between output (Q) and the number of hours of skilled labor (S) and unskilled labor (U) is as follows:

Q = 300 S + 200 U -0.2 S 2 -0.3 U 2

The hourly wage of skilled labor is $10.00, and the hourly wage of unskilled labor is $5.00. The firm can hire as much labor as it wishes at these wages.

  1. Elwyn's chief engineer recommends that the firm hire 400 hours of skilled labor and 100 hours of unskilled labor. Evaluate this recommendation.
  2. If Elwyn decides to spend a total of $5000.00 on skilled and unskilled labor, how many hours of each type of labor should it hire?

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