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October 23, 2014

Homework Help: Math Algebra 2

Posted by John on Sunday, April 6, 2008 at 5:33pm.

Ok im stumped on this HW problem can anyone help?
The Blue clothing company makes both shirts and pants. Each shirt gives a profit of $25, while a pair of pants yields $55. Both shirts and pants are made using machines and human labor. A single shirt takes an hour of machine labor and an hour of human labor. A pair of pants requires 3 hours of machine labor and 2 hours of human labor. Each day the company can devote a total of 160 hours of human labor and 200 of machine labor. The company must make at least 15 pairs of pants every day, but never has enough material to make more than 70. The number of shirts made in a day can not exceed 100. Lastly, the number of pants made in a day can never be more than the number of shirts. How many pants and shirts should the company make in a day to maximize profits? What is the maximum profit?

So far i set up the profit equation 25x+55y=Profit and now im stuck on the different restrictions for it i think i have y≤70 x≤100 plz help!

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