Question 1093147: A company produces alarm clocks. During the regular workweek, the labor cost for producing one clock is $4.00. However, if a clock is produced on overtime, the labor cost is $5.00. Management has decided to spend no more than a total of $46,000 per week for labor. The company must produce 11,000 clocks this week. What is the minimum number of clocks that must be produced during the regular workweek?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52803)   (Show Source):
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! A company produces alarm clocks. During the regular workweek, the labor cost for producing one clock is $4.00. However, if a clock is produced on overtime, the labor cost is $5.00. Management has decided to spend no more than a total of $46,000 per week for labor. The company must produce 11,000 clocks this week. What is the minimum number of clocks that must be produced during the regular workweek?
Let number produced during regular workweek be R, and during overtime, E
We then get the following equation and inequality:
R + E = 11,000______E = 11,000 - R ------ (i)
 ----- (ii)
 ------- Substituting 11,000 - R for E in (ii)
Number that must be produced during the regular workweek, or 
Therefore, minimum number that must be produced during the regular workweek is 
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