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One kind of cake requires 200 g of flour...

One kind of cake requires 200 g of flour and 25 g of fat and another kind of cake requires 100g of flour and 50 g of fat. Find the maximum number of cakes which can be in make from 5 kg of flour and 1 kg of fat, assuming that there is no shortage of other in gradients used in making the cakes. Formulate the above as a linear programming problem and solve it graphically.

Text Solution

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The correct Answer is:
20 cakes of first types and 10 cakes of second type

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One kind of cake requires 200 g of flour and 25 g of fat, and another kind of cake requires 100 g of flour and 50 g of fat. Find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat assuming that there is no shortage of the other integredients used in making the cakes. Formulate the above as a linear programming problem and solve graphically.

One kind of cake requires 200 g of flour and 25 g of fat, and another kind of cake requires 100 g of flour and 50 g of fat. Find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat assuming that there is no shortage of the other ingredients used in making the cakes. Make an L.P.P. of the above and solve it graphically.

Knowledge Check

  • Mr. Ranjan purchased 15.500 kg rice, 25.750 kg flour and 3.250 kg sugar. Find the total weight of his purchases

    A
    44.500 kg
    B
    44.005 kg
    C
    40.450 kg
    D
    45.500 kg
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