Home
Class 12
MATHS
One kind of cake requires 200 gm of flou...

One kind of cake requires 200 gm of flour and 25 g of fat and another kind of cake requires 100 gm of flour and 50 gm of fat. Find the maximum number of cakes which can be made from 5kg of flour and 1kg of fat assuming that there is no shortage of the other ingredients used in making the cakes.

Text Solution

Verified by Experts

The correct Answer is:
maximum value of z` is 30 at `(20,10)` and conclusion
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - D (Answer any six questions)|12 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos

Similar Questions

Explore conceptually related problems

One king of cake requires 200 g of flour and 25 g of fat 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.

(Street plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East_West direction. All the other streets of the city run parallel to these roads and are 200m apart. There are 5 streets in each direaction. Using 1 cm =200cm, draw a model of teh city on your note book. Represent the roads/streets by single lines. There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South directin and another in the East-West direction. Each cross street is rreferred to in the following manner, If the 2 ^(nd) steeet running in teh North-South direction 5 ^(th) in the East-West direction meet at some crossing, then we will call this cross-street (2,5). Using this convection, find: How many cross-streets can be referred at as (4,3)

(Street plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East_West direction. All the other streets of the city run parallel to these roads and are 200m apart. There are 5 streets in each direaction. Using 1 cm =200cm, draw a model of teh city on your note book. Represent the roads/streets by single lines. There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South directin and another in the East-West direction. Each cross street is rreferred to in the following manner, If the 2 ^(nd) steeet running in teh North-South direction 5 ^(th) in the East-West direction meet at some crossing, then we will call this cross-street (2,5). Using this convection, find: How many cross-streets can be referred to as (3,4)