# Unknown Story

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#### Storyboard Description

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#### Storyboard Text

• ﻿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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