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  • The scenario
  • fabric maker
  • embroiderer
  • The constraints
  • Y
  • $ 45
  • X
  • $ 50
  • I can work a maximum of 150 hours it takes 4 hours to embroider a sweatshirt and 1 hour to embroider sweatpants
  • I can work a maximum of 120 hours it takes 2 hours to sew a sweatshirt and 3 hours to sew sweatpants
  • 2x + 3y > 120 4x + y < 150 x > 15 y > 10
  • x > o y > 0 F= 50x + 45y
  • x = sweatshirts y = sweatpants
  • must sell at least 10 sweatshirts and 15 pairs of sweatpants to maximize profits
  • (15,30) = $ 2100 (33,18) = $ 2460 (35,10) = $ 2200 (15,10) = $ 1200
  • in order to maximize profits while following the constraints, 33 sweatshirts and 18 pairs of sweatpants should be ,ade
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