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A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at Rs 5 profit and that of B at a profit of Rs 6. Find the production level per day for maximum profit graphically.

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A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at ₹ 7 profit and that of B at a profit oft ₹ 4. Find the production level per day for maximum profit graphically.

A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on secnd machine. Each unit of product A is sold at Rs 7 profit and that of B at a profit of Rs 4. Find the production level per day for maximum profit graphically.

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A company manufactures two articles A and B. there are two departments through which these articles are processed, assembly and finishing departments. The maximum capacity of the assembly department is 60 hours a week and that of finishing department is 48 hours a week. production of each unit of article A requires 4 hours in assembly and 2 hours in finishing and that of each unit of articel B requires 2 hours in assembly and 4 hours in finishing. if profit is Rs.6 for each unit of A and Rs.8 for each unit of B, find out the number of units A and B to be produced every week to give maximum profits.

A company sells two different products A and B. The two products in a common production process which has a total capacity of 500 man hours. It takes 5 hours to produce a unit of A and 3 hours to produce to unti of B. the demand in the market shows that the maximum number of unit of A that can be sold is 70 that for B is 125. Profit on each unit of A is Rs.20 and that on B is Rs.15. How many units of A and B should be produced to maximize the profit? solve it graphically.

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A manufacture makes two products A and B. product A sells at Rs.200 per unit and takes 30 minute to make. Product B sells at Rs.300 per unit and takes 1 hour to make. There is a permanent order of 14 units of product A and 16 unit of product B. A working week consists of 40 hours of production and the weekly turnover must not be less than Rs.10,000. if he profit on each unit of product A is Rs.20 and on product B is Rs.30, then find how many units of each product should be produced to get maximum profit. also find the maximum profit. solve the problem graphically.

MODERN PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. The feasible solution for a LPP is shown in the following figure. Let ...

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  2. The maximum value of Z=3x+4y subject to the contraints : x+yle4, xge0,...

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  3. The maximum value of Z=3x+5y subject to the contraints : x+yle4, xge0,...

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  4. The maximum value of Z=4x+5y subject to the contraints : x+yle4, xge0,...

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  5. The maximum value of Z=2x+3y subject to the contraints : x+yle1, 3x+yl...

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  6. Minimum value of Z=5x+3y subject to 2x+yge10, x+3yge15, xle10, yle8, x...

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  7. Any point in half plane 2x+3y-12ge0 is

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  8. The linear constraints for which the shaded area in the above figure i...

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  9. Any feasible solution which maximises or minimises the objective funct...

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  10. If x+yle2, xge0, yge0, the point at which maximum value of 3x+2y attai...

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  11. The graph of the inequation 3x+2y>6 does not lie in the fourth quadran...

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  12. Draw the graph of the following LPP: 3x+yle17, xge0,yge0.

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  13. Maximize Z=4x+y subject to : x+yle50, x,yge0

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  14. Solve the following LPP graphically : Maximize Z=4x+y subject to x+yle...

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  15. Solve the following LPP graphically : Maximize Z=-3x+4y subject to x+2...

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  16. If a man rides his motor cycle at 25 km/hr, he has to spend Rs 2 per k...

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  17. A manufacturer produces two products A and B. Both the products are pr...

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  18. Two tailors A and B earn Rs 150 and Rs 200 per day respectively. A can...

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  19. A cooperative society of farmers has 50 hectare of land to grow two cr...

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  20. A dietician wishes to mix two types of food in such a way that the vit...

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