SOLUTION: A company produces alarm clocks. During the regular workweek, the labor cost to produce one clock is $2.00. However, if a clock produced on overtime, the labor cost to produce it i

Question 987504: A company produces alarm clocks. During the regular workweek, the labor cost to produce one clock is $2.00. However, if a clock produced on overtime, the labor cost to produce it is $3.00. Management has decided to spend no more than $21,000 on labor costs per week. The company must produce 10,000 clocks this week. What is the minimum number of clocks that must be produced during the workweek?
I hope you guys can help me solve a word problem! I've tried to figure out the different equations for the workweek vs. overtime and the 10,000 is the number I think that's throwing me off the most! Hope you can help! Thank you!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of clocks produced
during the regular workweek
Let = number of clocks priduced
during overtime
-------------------
given:
(1)
(2)
------------------------
Multiply both sids of (1) by
(1)
Add (1) and (2)

--------------------
The minimum number of clocks that must
be produced during the workweek is 9000
--------------
check:
(1)
and
(2)
(2)
-----------------------------------
Try plotting for (1)
and (2), and find the area between the
lines that are permitted values of
and

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