Math Is Fun Forum

jxharmon

Member

Registered: 2007-01-08

Posts: 104

word problem really need help

company produces scarves and sweaters; scarves take 2 hours to produce and sweaters take 14 hours to produce; available labor is 40 hours per week; total productions capacity is 5 items per week; write a system of inequalities representing the situation; where x is number of scarves and y is the number of sweaters; then graph the inequalities.   I am thinking x+y<=5 and 2+ 14 <40 is this anywhere near correct???

Last edited by jxharmon (2007-02-10 11:10:30)

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: word problem really need help

Almost perfect I think.  Just multiply by the variables x and y, so 2x + 14y <= 40, I think.
The x + y <= 5 looks right.  So ysweater is either 0, 1, or 2.
If ysweaters is zero, then xscarves can be 0 to 5, taking zero to ten hours.
If ysweaters is one, then xscarves can be 0 to 4, taking 14 to 22 hours.
If ysweaters in two, then xscarves can be 0 to 3, taking 28 to 34 hours.

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jxharmon

Member

Registered: 2007-01-08

Posts: 104

Re: word problem really need help

I see I forgot the 2 and 14 but then how would you graph that??