A company produces two types of goods, `A` and `B`, that require gold and silver. Each unit of type `A` requires `3 gm` of silver and `1 gm` of gold while that of type `B` requires `1 gm` of silver and `2 gm` of gold. The company can use `9 gm` of silver and `8 gm` of gold. If each unit of type `A` brings a profit of Rs. `40` and that of type B Rs. `50`, find the number of units of each type that the company should produce to maximise the profit. What is the maximum profit.
Topper's Solved these Questions
LINEAR PROGRAMMING
BODY BOOKS PUBLICATION|Exercise EXERCISE|2 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
BODY BOOKS PUBLICATION|Exercise EXERCISE|97 Videos
MATRICES
BODY BOOKS PUBLICATION|Exercise EXERCISE|107 Videos
Similar Questions
Explore conceptually related problems
Gold number is the unit of :
A company manufactures two types of rovelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs 5 each for type A and Rs 6 each for type B souvenirs. How many souvenirs of each type should the company manufacture in order to maximise the profit?
A firm manufactures two types of products A and B and sells them at a profit of Rs. 5 per unit of type A and Rs. 3 per unit of type B . Each product is processed on two machines M_1 and M_2 . One unit of type A requires one minute of processing time, on, M_1 and two minutes of processing time on M_2 whereas one unit of type B requires one minute of processing time on M_1 and one minute of M_2 . Machines M_1 and M_2 are respectively available for at most 5 hours and 6 hours a day. Find how many, units of each type of product should the firm produce a day, in order, to maximise the profit. Solve thè problem graphically.
If AM and GM of two numbers are 10 and 8 respectively, find the numbers.
Find out the number of moles of water formed when 4 gms of Hydrogen and 32 gms of Oxy-gen combined together. What is the result when 5 gms of Hydrogen and 32gms of Oxygen combined together?
A man owns a field of area 1,000 sq.m. He wants to plant fruit trees in it. He has a sum of Rs. 1,400 to purchase young trees. He has the choice of two types of the tree. Type A requires 10 sq.m of ground per tree and cost. Rs. 20 per tree and type B requires 20 sq.m of ground per tree and cost Rs. 25 per tree. When fully grown, type A produces an average of 20 kg fruit Which can be sold at a profit of Rs. 2 per kg and type B produces. an average of 40 kg of fruit which can be sold at a profit.of Rs. 1.50 per kg. How many of each type should he plant to achieve maximum profit when the trees are fully grown? What is the maximum profit?
A company produces two types of cricket balls A and B.The production time of one ball of type B is double the type A(time in units ).The company has the time to produce a maximum of 2000 balls per day.The supply of raw materials is sufficient for the production of 1500 balls (both A and B) per day.The company wants to make maximum profit by making profit of Rs.3 from a ball type of A and Rs.5 from type B.Then, How many balls should be produced in each type per day in order to get maximum profit?
A company produces two types of cricket balls A and B.The production time of one ball of type B is double the type A(time in units ).The company has the time to produce a maximum of 2000 balls per day.The supply of raw materials is sufficient for the production of 1500 balls (both A and B) per day.The company wants to make maximum profit by making profit of Rs.3 from a ball type of A and Rs.5 from type B.Then, Write the constraints.
BODY BOOKS PUBLICATION-LINEAR PROGRAMMING-EXERCISE