document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #707777 by MathTherapy(10553)\"\" \"About 
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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?
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Let number produced during regular workweek be R, and during overtime, E
\n" ); document.write( "We then get the following equation and inequality:
\n" ); document.write( "R + E = 11,000______E = 11,000 - R ------ (i)
\n" ); document.write( "\"4R+%2B+5E+%3C=+%2246%2C000%22\" ----- (ii)
\n" ); document.write( "\"4R+%2B+5%28%2211%2C000%22+-+R%29+%3C=+%2246%2C000%22\" ------- Substituting 11,000 - R for E in (ii)
\n" ); document.write( "\"4R+%2B+%2255%2C000%22+-+5R+%3C=+%2246%2C000%22\"
\n" ); document.write( "\"-+R+%3C=+%2246%2C000%22+-+%2255%2C000%22\"
\n" ); document.write( "Number that must be produced during the regular workweek, or
\n" ); document.write( "Therefore, minimum number that must be produced during the regular workweek is \"highlight_green%28matrix%281%2C2%2C+%229%2C000%22%2C+units%29%29\" \n" ); document.write( "
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