SOLUTION: 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​ overti

Algebra.Com
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): You can put this solution on YOUR website!

Answer by MathTherapy(10553)   (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  

RELATED QUESTIONS


A company produces alarm clocks. During the regular​ workweek, the labor cost for... (answered by Alan3354,ikleyn)

A company produces alarm clocks. During the regular workweek, the labor cost to produce... (answered by josmiceli)

The "Elite Alarm Clock Radio" has a 6% defective rate (a defective alarm clock will not... (answered by stanbon)

During a​ 52-week period, a company paid overtime wages for 19 weeks and hired... (answered by solver91311)

For the example​ below, prorate the given expenses to find the monthly cost.... (answered by jorel1380)

A company is considering two insurance plans with coverage and premiums shown in the... (answered by lawson221)

5. Old-fashioned mechanical alarm clocks were not all that accurate. Suppose that the... (answered by ikleyn)

A company manufactures an alarm clock. Three weeks ago the company had 250 on hand. Two... (answered by stanbon)

A truck rental company rents a moving truck for one day by charging $33 plus $0.05  per... (answered by jorel1380)