Algebra Word Problems
posted by mike .
A long sleeve blouse requires 1.5 hrs of cutting and 1.2 hrs of sewing. A short sleeve blouse requires 1 hr of cutting and .9 hrs of sewing. Sleeveless blouse requires .5 hrs of cutting and .6 hrs of sewing. There are 380 hrs of labor available in the cutting department each day and 330 hrs in the sewing department. If the plant is to run at full capacity how many of each type of blouse should be made each day.

Let the number of longsleeve blouses be x
let the number of shortsleeve blouses be y
let the number of sleeveless blouses by z
I see two equations
1.5x + y + .5z = 380
3x + 2y + z = 760 (#1)
1.2x + .9y + .6z = 330 > (times 10/3)
4x + 3y + 2z = 1100 (#2)
I doubled the first, then subtracted the second to get
2x + y = 420
or y = 420  2x, where 0 ≤ x ≤ 210
and form #1
z = 760  3x  2y , where z > 0
Making a chart of ordered triplets, it is clear that there are many different triplets that are possible for full capacity.
e.g. (150,120,70) , (80,260,0) , (210,0,130) all work.
Are you sure there wasn't a restraint based on the profit of each of the products? 
There was nothing. I gave the whole problem. I did some problems earlier and was ok We never studeied this type of problem and I get confused when new shows up.
Respond to this Question
Similar Questions

math
can someone please help me, Rob is going to college in Oklahoma which is 680 miles from their his home in Tennessee. He can travel on state highways at 55mph or on the interstate at 70mph. Approximately, how much longer will his trip … 
LINEAR PROGRAMING...HELP PLEASEE!!!!!
A sporting goods manufacturer makes a $5 profit on soccer balls and a $4 profit on volleyballs. Cutting requires 2 hours to make 75 soccer balls and 3 hours to make 60 volleyballs. Sewing needs 3 hours to make 75 soccerballs and 2 … 
consumer math
Luis Giron works at the Pancake Palace from 3:00 p.m. until 12:15 a.m. 5 nights a week. If he takes a 30minute break each evening, how many hours per week does he work? 
Algebra
A.Driving from El Paso to San Antonia on a bus ...560 miles traveling at avg speed of 60 miles per hr how do I make a graph with the time & distance. B. have to estimate distance bus tvls in 2 hrs...2 3/4 hrs...3.5 hrs...7.25 hrs.. … 
New Consumer Math
Luis Giron works at the Pancake Palace from 3:00 p.m. until 12:15 a.m. 5 nights a week. If he takes a 30minute break each evening, how many hours per week does he work? 
Uniform Motion
A certain fish requires 3 hrs to swim 15km downstream. The return trip upstream takes 5 hrs. What is the speed of the fish still in water? 
ALGEBRA
a VIDEO TAPE CAN RECORED 2 HRS ON SHORT PLAY, 4 HRS ON LONG PLAY, OR 6 HRS ON EXTENDED PLAY. after RECORDING 43 MINUTES ON SHORT PLAY AND 27 MINUTES ON LONG PLAY, HOW MANY MINUTES CAN IT RECORD ON EXTENDED PLAY? 
Math
Trina works after school and on weekends. She always works three days each week. This week she worked 2 3/4 hrs on Monday. 3 3/5 hrs on Friday and 5 1/2 hrs on Saturday. Next week she plans to work the same number of hrs as this week … 
math
find the constant of proportionality and unit rate for the data in the table. Then write the equation to represent the relationship between time t and distance d Time Distance 2 hrs 90 miles 3 hrs 135 miles 5 hrs 225 miles 6 hrs 270 … 
math
pipe can fill a cistern 8 hrs and another 10 hrs.both are opened at same time.if 2nd is closed 2 hrs before the cistern is filld up