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A factory produces short-sleeved and long-sleeved shirts. A short-sleeved shirt requires 30 minutes of labor, a long-sleeved shirt requires 45 minutes of labor, and 240 hours of labor are available per day. The maximum number of shirts that can be packaged in a day is 400, so no more than 400 shirts should be produced. If the profits on a short-sleeved and a long-sleeved shirt are $11 and $16, respectively, find the maximum possible daily profit?

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akiran007

Answer:

Profit= $5200

Explanation:

let the short sleeved shirt be x and long sleeved shirt be y then according to the given conditions 30x+45y=240(60) minutes---A

also x+y=400------B

multiplying b with 30 gives

30x+30y=12000------C

subtracting C from A 15y= 2400

y= 160 long sleeved shirts and x= 240 short sleeved shirts are made

Profits= 240*11+160*16=$5200

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