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A company manufactures two types of cardigans type A and type B. It cost ₹360 to make a type a Cardigan and ₹120 to make type b Cardigan. The company can make at most 300 cardigans and spend at most ₹72000 a day. The number of cardigans of type B cannot exceed the number of cardigans of type A by more than 200. The company makes a profit of ₹100 for every Cardigan of type a and ₹50 for every Cardigan of type b. Formulate this problem as a Linear programming problem to maximize the profit to the company solve it graphically and find maximum profit

A company manufactures two types of cardigans type A and type B. It cost ₹360 to make a type a Cardigan and ₹120 to make type b Cardigan. The company can make at most 300 cardigans and spend at most ₹72000 a day. The number of cardigans of type B cannot exceed the number of cardigans of type A by more than 200. The company makes a profit of ₹100 for every Cardigan of type a and ₹50 for every Cardigan of type b. Formulate this problem as a Linear programming problem to maximize the profit to the company solve it graphically and find maximum profit

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Grade:12

2 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
6 years ago
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Vaishnavi mishra
13 Points
5 years ago
Let number of cardigons of type A be x and that of type B be y,thenO

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