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Recent questions tagged p520
ASK
The corner points of the feasible region determined by the following system of linear inequalities: 2x + y ≤ 10, x + 3y ≤ 15, x, y ≥ 0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy, where p, q > 0. The condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is (A) p = q (B) p = 2q (C) p = 3q (D) q = 3p?
cbse
class12
bookproblem
ch12
sec2
q11
p520
sec-a
easy
math
asked
Nov 16, 2012
by
fingeazy
1
answer
There are two types of fertilisers \(F_{1} \) and \(F_{2} \). \(F_{1} \) consists of 10% nitrogen and 6% phosphoric acid and \(F_{2} \) consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that she needs atleast 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If \(F_{1} \) costs Rs 6/kg and \(F_{2} \) costs Rs 5/kg, determine how much of each type of fertiliser should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?
cbse
class12
bookproblem
ch12
sec2
q10
p520
sec-c
medium
math
asked
Nov 16, 2012
by
fingeazy
1
answer
A diet is to contain at least 80 units of vitamin A and 100 units of minerals. Two foods \(F_{1} \) and \(F_{2} \) are available. Food $F_1$ costs Rs 4 per unit food and $F_2$ costs Rs 6 per unit. One unit of food \(F_{1} \) contains 3 units of vitamin A and 4 units of minerals. One unit of food \(F_{2} \) contains 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem. Find the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements.
cbse
class12
bookproblem
ch12
sec2
q9
p520
sec-c
medium
math
asked
Nov 16, 2012
by
fingeazy
1
answer
A merchant plans to sell two types of personal computers, a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant would stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000.
cbse
class12
bookproblem
ch12
sec2
q8
p520
sec-c
easy
modelpaper
2012
q29
math
asked
Nov 16, 2012
by
fingeazy
1
answer
A company manufactures two types of novelty 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?
cbse
class12
bookproblem
ch12
sec2
q7
p520
sec-c
medium
math
asked
Nov 16, 2012
by
fingeazy
1
answer
A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit?
cbse
class12
bookproblem
ch12
sec2
q6
p520
sec-c
medium
math
modelpaper-2012
modelpaper-2014
65-2-3
q23
asked
Nov 16, 2012
by
fingeazy
1
answer
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