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Shubhrajyoti Ghosh
Subject: Maths
, asked on 21/3/18
No links please
Q.ii) Solve the following linear programming problem by graphical method and find the minimum value of Z.
Min Z = x + y
Subject to the constraints
5x + 9y
≤
45
x + y
≥
2
x
≤
4
and x
≥
0, y
≥
0.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 20/3/18
No links please
Q. Solve the following LPP graphically: (Graph sheet is not required)
Maximize Z=60x+15y
Subject to x+y
x
+
y
≤
50
3
x
+
y
≤
90
x
≥
0
,
y
≥
0
Answer
1
N I S H I D H A .
Subject: Maths
, asked on 20/3/18
ANS FAST :/
Q.8. A resourceful home decorator manufactures two types of lamps say A and B. Both lamps go through two technicians, first a cutter, second a finisher. Lamp A requires 2 h of the cutter's time and 1 h of the finisher's time. Lamp B requires 1 h of cutter's and 2 h of finisher's time. The cutter has 104 h and finisher has 76 h of time available each month. Profit on one lamp A is Rs. 6.00 and on one lamp B is Rs. 11.00. Assuming that he can sell all that he produces, how many of each type of lamps should he manufacture to obtain the best return.
Answer
1
Varnika Dhiman
Subject: Maths
, asked on 20/3/18
How equation 3 has been written ?!..
And also, should we take no. of hours for three machines as x,y&z ?!..
Answer
4
N I S H I D H A .
Subject: Maths
, asked on 19/3/18
Q. A medicine company has factories at two places A and B. From these places, supply is to be made to each of its three agencies P, Q and R. The monthly requirement of these agencies are respectively 40, 40 and 30 packets of medicines. The production capacity of the factories at A and B are 60 and 50 packets respectively. The transportation cost per packet from factories to the agencies are given
Transportation Cost per packets (in Rs)
From/To
P
Q
R
A
5
4
3
B
4
2
5
How many packets from each factory be transported to each agency so that the cost of transportation is minimum? Also, find the minimum cost.
Answer
1
Apoorv
Subject: Maths
, asked on 18/3/18
A dietician wants to develop a special diet using two foods X and Y. Each packet (contains 30 g) of food X contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Y contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires at least 240 units of calcium, at least 460 units of iron and at most 300 units of cholesterol. Make an LPP to find how many packets of each food should be used to minimise the amount of vitamin A in the diet, and solve it graphically.
Answer
2
Archana
Subject: Maths
, asked on 15/3/18
1.
A man rides his motorcycle at the speed of 50km/h. He has to spend Rs.2 per km on petrol. If he rides it at a faster speed of 80km/h, the petrol cost increases to Rs.3 per km. He has at most Rs.120 to spend on petrol and one hour’s time. Using LPP find the maximum distance he can travel. Explain the marked steps
.
Answer
2
Shubhrajyoti Ghosh
Subject: Maths
, asked on 14/3/18
No links please
(1) In a diet chart at least 80 units vitamin A and 100 units of vitamin C is necessary. There are two types of food P and Q of which the price is Rs. 4 and Rs. 6 per unit respectively. Each unit of p contains 3 units of vitamin A and 4 units of vitamin C and each unit of Q contains 6 units of vitamin A and 3 units of vitamin C. Formulate the L.P.P. to minimize the cost to provide food P and Q maintaining the nutrition in the diet.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 14/3/18
No links please:
(ii) Solve Graphically the following LPP:
S.t.
Z
=
5
x
+
3
y
3
x
+
5
y
≤
15
x
+
2
y
≤
10
x
,
y
≥
0
Answer
1
Ritesh Ranjan Rath
Subject: Maths
, asked on 14/3/18
Solve this:
6.
Two tailors, A and B, earn Rs 300 and Rs 400 per day respectively. A can stitch 6 shirts and 4 pairs of trousers while B can stitch 10 shirts and 4 pairs of trousers per day. To find how many days should each of them work and if it is desired to produce at least 60 shirts and 32 pairs of trousers at a minimum labour cost, formulate this as an LPP.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 13/3/18
Maximize the following objective function z graphically:
z
= 3
x
+ 5
y
subject to
x
+ 2
y
≤ 20
x + y
≤ 15
y
≤ 6,
x
≥ 0,
y
≥ 0.
Answer
2
Shubhrajyoti Ghosh
Subject: Maths
, asked on 13/3/18
No links please
A dieitician wishes to mix two types of food in such a way that one kg of the mixture contains at least 8 units of vitamin A and 10 units of Vitamin C. Food-I contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C, while Food-II contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs 50.00 per kg to purchase Food-I and Rs. 70.00 per kg to purchase Food-II. Formulate the above as an L.P.P. to minimise the cost of the mixture of food.
Answer
1
Varnika Dhiman
Subject: Maths
, asked on 23/2/18
I've got till the marked step,i.e., till the marked equation. But not getting after that. What the theorem exactly states and how it is being used here ?!.. [There's no need of providing the whole solution. If you would explain just the steps after the marked step, that will be great. Kindly don't give link for the similar question and specifically answer to what I'm asking.
Answer
1
Riya Verma
Subject: Maths
, asked on 21/2/18
In qno.6 where does this y greater than 80 came from?
Answer
3
Riya Verma
Subject: Maths
, asked on 21/2/18
Graph the solution sets of the following in equations:-
3.
x
+
2
y
>
1
4
.
2
x
-
3
y
<
4
Solve each of the following systems of simultaneous in equations:-
7.
2
x
+
y
>
1
a
n
d
2
x
-
y
≥
-
3
Answer
1
1
2
3
4
5
Next
What are you looking for?
Q.ii) Solve the following linear programming problem by graphical method and find the minimum value of Z.
Min Z = x + y
Subject to the constraints
5x + 9y 45
x + y 2
x 4
and x 0, y 0.
Q. Solve the following LPP graphically: (Graph sheet is not required)
Maximize Z=60x+15y
Subject to x+y
Q.8. A resourceful home decorator manufactures two types of lamps say A and B. Both lamps go through two technicians, first a cutter, second a finisher. Lamp A requires 2 h of the cutter's time and 1 h of the finisher's time. Lamp B requires 1 h of cutter's and 2 h of finisher's time. The cutter has 104 h and finisher has 76 h of time available each month. Profit on one lamp A is Rs. 6.00 and on one lamp B is Rs. 11.00. Assuming that he can sell all that he produces, how many of each type of lamps should he manufacture to obtain the best return.
And also, should we take no. of hours for three machines as x,y&z ?!..
Transportation Cost per packets (in Rs)
How many packets from each factory be transported to each agency so that the cost of transportation is minimum? Also, find the minimum cost.
1. A man rides his motorcycle at the speed of 50km/h. He has to spend Rs.2 per km on petrol. If he rides it at a faster speed of 80km/h, the petrol cost increases to Rs.3 per km. He has at most Rs.120 to spend on petrol and one hour’s time. Using LPP find the maximum distance he can travel. Explain the marked steps.
(1) In a diet chart at least 80 units vitamin A and 100 units of vitamin C is necessary. There are two types of food P and Q of which the price is Rs. 4 and Rs. 6 per unit respectively. Each unit of p contains 3 units of vitamin A and 4 units of vitamin C and each unit of Q contains 6 units of vitamin A and 3 units of vitamin C. Formulate the L.P.P. to minimize the cost to provide food P and Q maintaining the nutrition in the diet.
(ii) Solve Graphically the following LPP:
S.t.
6. Two tailors, A and B, earn Rs 300 and Rs 400 per day respectively. A can stitch 6 shirts and 4 pairs of trousers while B can stitch 10 shirts and 4 pairs of trousers per day. To find how many days should each of them work and if it is desired to produce at least 60 shirts and 32 pairs of trousers at a minimum labour cost, formulate this as an LPP.
z = 3x + 5y
subject to x + 2y ≤ 20
x + y ≤ 15
y ≤ 6, x ≥ 0, y ≥ 0.
A dieitician wishes to mix two types of food in such a way that one kg of the mixture contains at least 8 units of vitamin A and 10 units of Vitamin C. Food-I contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C, while Food-II contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs 50.00 per kg to purchase Food-I and Rs. 70.00 per kg to purchase Food-II. Formulate the above as an L.P.P. to minimise the cost of the mixture of food.
3.
Solve each of the following systems of simultaneous in equations:-
7.