Question 43536: I don't understand this word problem.
A manufacturer produces both two-slice and four-slice toasters. The two-slice toaster takes 6 h of labor to produce and the four-slice toaster 10 h, The labor available is limited to 300h per week, and the total production capacity is 40 toasters per week. Write a system of inequalities representing this situation.
Answer by psbhowmick(878)   (Show Source):
You can put this solution on YOUR website! Let the no. of two-slice toasters produced per week be 'x' and that of four-slice toasters be 'y'.
As the total capacity of production is 40 toasters per week.
So the total number of toasters produced in the week must be less than or equal to 40.
Hence,  is one inequality.
Next, to produce one two-slice toaster 6 hrs. of labour is reqd.
Hence, to produce 'x' two-slice toasters per week, '6x' hrs. of labour is reqd. per week.
Similarly, to produce 'y' four-slice toasters per week, '10y' hrs. of labour is reqd. per week.
So, the total labour reqd. is (6x + 10y) hrs. per week.
Now, total hours of labour used per week must be less than or equal to that available (300 hrs. per week).
Hence,  or 
Thus, the reqd. system of inequalities is: and .
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