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if young man rides his motorcycle at 25 km/hr,he has to spend rs.2 per/kmon petrol. if he rides at faster speed of 40km/hr.the petrol cost increases at rs.5per km.he has rs. 100to spend on petrol and wishes to find what is the maximum distance he can travel within one hour, experts answer me fast as i have exam tomorrow

anil wants to invest at most Rs. 12000 in bonds A and B. According to the rules, he has to invest atleast rs.2000 in bond A and atleats rs.4000 in bond B. If the rate of interest on bond A is 8% and on bond B is 10% per annum,how should he invest the money for maximum interest ? solve the problem graphically.

which is the good book for computer science c++ cbse 12th? i saw one book called computer science with c++ by ahamad alisha. is it a good book. you can see this book in google books. please help

A diet for a sick person must contain at least 4000 units of vitamins , 50 units of minerals , & 1400 of calories . Two foods A & B , are available at a cost of Rs, 4 & Rs , 3 per unit respec. If one unit of A containa 200 units of vitamin , 1 unit of mineral & 40 calories & one unit of food B contains 100 units of vitamin , 2 units of minerals & 40 calories , find what combination of foods should be used to have the least cost ?

a toy company manufactures two types of dolls A and B each doll of type B takes twice long as long to produce as one of type A andthe company would have time to make a maximum 2000 per day if it produces only type A.The supply plastic is sufficientto produce 1500 dolls per day (both A and B combined) Type B requires a fancy dress of which there are only 600 per day available.If the company makes profit of Rs 3 and Rs 5 per doll respectively on dolls A and B how many each should be produced per day in order to maximise the profit? Find the maximum profit.

An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 400 is made

on each first class ticket and a profit of Rs. 300 is made on each economy class

ticket. The airline reserves at least 20 seats for first class. However, at least 4 times

as many passengers prefer to travel by economy class to by the first class. Determine

how many of each type ticket must be sold in order to maximize the profit for the

airline. What is the maximum profit? Frame an L.P.P and solve it graphically.

A dealer wishes to purchase a number of fans and sewing machines. He

has only Rs 5760to invest and has space for at the most 20 items. A fan costs

him Rs 360 and sewing machine Rs 240. He expects to sell a fan at a profit

of Rs 22 and a sewing machine for a profit of Rs 18. Assuming that he can

sell all the items he buys, how should he invest his money to maximize his

profit. Solve it graphically.

if a line is passing through the origin thn how to shade d region in liner inequality..??lik if the eq is y-4x= 0

a library has to accomodate two types of books on a shelf. the books are 6cm and 4cm thick and weigh 1kg and 3/2kg. the shelf is 96cm long and atmost can support a weight of 21kg. how should the sgelf be filled with the books of two types in order to include the greatest number of books? make it as an L.P.P and solve it graphically.

A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is at most half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by at most 600 units. If the company makes profit of Rs 12 and Rs 16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximize the profit?

AandB. SizeAcontains 2 grains of aspirin, 5 grains of bicarbonate and 1 grain of codeine; sizeBcontains 1 grain of aspirin, 8 grains bicarbonate and 6 grains of codeine. It has been found by users that it requires at least 12 grains of aspirin, 74 grains of bicarbonate and 24 grains of codeine for providing immediate effects. Determine graphically the least number of pills a patient should have to get immediate relief.a manufacturer of a line of patent medicines is preparing a production plan on machines A and B.ther are sufficient ingredients available to make 20000 bottles of A and 40000 bottles of B but there are only 45000 bottles into which either of the medicines can be put.furthermore,it takes 3 hours to prepare enough material to fill 1000 bottles of A and it takes 1 hour to prepare enough material to fill 1000 bottles of B,and there are 66 hours available for this operation.the profit is rs 8 per bottle for A and rs 7 per bottle for B.

how should the manufacturer schedule the production in order to maximize his profit?also,find the maximum profit.

if a young man drives his vehicle at 25km/hr,he has to spend RS 2 per km on petrol. If he drives it at a faster speed of 40km/hr, the petrol cost increases to RS 5 per km . He has to spend RS100 on petrol and travel within one hour. Express this as an lpp and solve the same

A straight wire carries a 10A current. ABCD is a rectangle withpoint D in the middle of a 1.10mm segment of the wire and point Cin the wire. Find the magnitude and the direction of the magneticfield due to this segment at (a) point A; (b) point B; (c) pointC.

One kind of cake required 300g of flour and 15g of fat, another kind of cake requires 150g of flour and 30g of fat. Find the maximum number of cakes which can be made from 7.5 kg of flour and 600g of fat, assuming that there is no shortage of the other ingredients used in making the cakes. Make it as an L.P.P and solve it graphically.

.one kind of cake requires 200g of flour and 25g of fat,and another kind of cake requires 100g of flour and 50g of fat. find the maximum no.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 cakes. formulate the above as a linear programming problem and solve graphically_{1 }and B_{2}.B_{1}costs rs.5/kg and B_{2}costs rs.8/kg . strength consideration dictate that the brick should conatin not more than 4kg of B_{1}and minimum cost of brick satisfying the above condition . formulate this situation as an LPP and solve it.a manufacturer makes two products,A and B.product A sells it at rs 200 each and takes half an hour to make.product B sells at rs 300 each and takes 1 hour to make.there is a permanent order for 14 of product A and 16 of product B.a working week consists of 40 hours of production and the weekly turnover must not be less than rs 10000.if the profit on each of the product A is rs 20 and on product B,it is rs 30 then how many of each should be produced so that the profit is maximum?also,find the maximum profit.

a person has Rs70000 to invest and two types of bonds are available in the market for investment.First type of bond yields an annual income of 8% on the amount invested and the second type of bond yield 10% per annum.As per norms he has to invest minimum of Rs10000 in the first type and not more than Rs 30000 in the second type.How should he plan his investment so as to get maximum return after one year of investment.

There are two types of fertilizers 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 at least 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If F_{1}cost Rs 6/kg and F_{2}costs Rs 5/kg, determine how much of each type of fertilizer should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?A manufacturer considers that men and women workers are equally efficient and so he pays them at the same rate. He has 30 and 17 units of workers ( male and female ) and capital repectively, which he uses to produce two types of goods A and B. To produce one unit of A, 2 workers and 3 units of capital are required while 3 workers and 1 unit of capital is required to produce one unit of B. If A and B are priced aty Rs. 100 and Rs. 120 per unit respectively, how should he use his resources to maximise the total revenue? Form the above as an LPP and solve graphically.

Do u agree with this view of manufacturer that men and women workers are equally efficient and so should be paid at the same rate ?

a man owns a field of area 1000m2. he wants to plant fruit trees in it . he has a sum of rs 1400 to purchase young trees . he has the choice of two types of trees .type a requires 10m2 of ground per tree and costs rs 20 per tree tupe b requires 20m2 of ground per tree and costs rs 25 per tree . when full grown a type a tree produces an average of 20 kg of fruit which can be sold at a profit of rs 2 per kg and a type b tree 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 be planted to achieve max profit when the trees are fully grown ? what is the max profit?

a cooperative society of farmers has 50 hectoare of land to grow two crops x and y . the profits from the crops x and y per hectare are estimated as rs 10500 and rs 9000 respectively. to control weeds, a liquid herbicide has to be used for crops x and y at rates of 20 litres and 10 litres per hectare . further no more than 800 litre of herbicide should be used to protect fish and wild life using a pond which collects , drainage from this land . how much land should be allocated to each crop so as to max the total profit of the society ? also find max profit

A small firm manufactures items A and B.The total number of items that it can manufacture in a day is at the most 24 items.A takes one hour to manufacture while item B takes only half an hour.The maximum time available per day is 16 hours.If the profit on one unit of item A be Rs.300 and that of one unit of item B be Rs.160, how many of each type of item should be produced to maximize the profit ? Solve the problem graphically.

respected teacher can you define the concept of linear programing in a simplified manner ?

an aeroplane can carry a max. of 200 passengers . A profit of Rs500 is made on each executive class ticket out of which 20% will go to the welfare fund of the employees.Similarly a profit of Rs400 is made on each economy class tickets out of which 25% will go for theimprovement of the facilities of the provided to the economy passengers.In both class the remaining profit goes to airline fund . The airline reserves atleast 20 seats for executive class .However at least 4 times as many passengers prefer to travel economy class than the executive class.Determine how many tickets of each type must be sold in order to maximise the net profit.Make the above asked in the form of LPP

An oil company requires 13,000, 20,000 and 15,000 barrels of high grade, medium grade and low grade oil respectively. Refinery P produces 100, 300 and 200 barrels per day of high, medium and low grade oil respectively whereas the Refinery Q produces 200, 400 and 100 barrels per day respectively. If P costs Rs. 400 per day and Q costs Rs. 300 per day to operate, how many days should each be run to minimize the cost of requirement?

what is the physical meaning of logarithm?

pls help me with all the question

1. let * be the binary operation defined by a*b = a

^{b}.a,b belongs to N .is * associative2. evaluate

tan^{-1 }[ 2 cos ( 2 sin^{-1 }1/2 )]3.WRITE THE PRINCIPAL VALUE OF cos^{-1 }(cos 2 pie /3) + sin^{-1}(sin 2 pie /3)4. PROVE THAT

tan( pie/4 + cos^{-1}a/b) + tan ( pie/4 - cos^{-1}a/b) = 2b/a5.SOLVE FOR x cos^{-1}( x^{2 }- 1/x^{2 }+1) + tan^{-1}(2x/ x^{2}- 1) = 2pie/37. A person wants to invest at most Rs. 18,000 in Bonds A and B. According to the rules, he has to

a company sells 2 different products A and B.the 2 products are produced 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 a unit of B.the demand in the market shows that the maximum number of units of A and can be sold is Rs 70 and that of B is Rs p25.profit on each unit of A is Rs 20 and that of B is Rs 15.how many units of A and B should be produced to maximize the profit?solve graphically.

Every gram of wheat provides 0.1 g of protein and 0.25 gms of carbohydrates.The corresponding values for rice are 0.05 g and 0.5 g respectively, wheat costs Rs 2 per kg and rice Rs 8 per kg .The minimum daily requirements for a child are 50 gm and 200 gm respectively.In what quantity should they be mixed so as to have minimum cost ? pls tell me what is the answer for this question and how to get the answer? pls explain....

2 schools A nd b want to award their selected students on the values of sincerity thruthfulness and helpfulness. The school A wants to award rs x each, rs y each, rs z each for the three respective values 3,2 and 1 students respectively with a total award money of 1600 rs. School B wants to spend rs. 2300 to award its 4, 1 and 3 students on the respective values.

A dealer in rural area wishes to purchase a number of sewing machines. He has only rupees

5760.00 to invest and has space for at most 20 items. Electronic sewing machines cost him

rupees 360 and manually operated sewing machine rs.240 . He can sell an electronic sewing

machine at a profit of rupees 22 and a manually operated sewing machine at a profit of Rs.18.

Assuming that he can sell all the items he can buy, how should he invest his money in order

to maximize his profit. Make it as a Linear Programming Problem and solve it graphically.

Justify the values promoted for the selection of the manually operated machines.

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 should 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.

Can anyone PLEASE answer this Linear programming Problem PLease!

A company produces soft drinks that has a contract which requires that a minimum of 80units of the chemical A and 60 units of Chemical B go into each bottle of the drink. The chemicals are available in prepared mix packets from two different suppliers. Supplier S had a packet of mix of 4units of A and 2 units of B that costs Rs.10 . The supplier T has a packet mix of 1 unit of A and 1 unit of B that costs Rs.4. How many packets of mixes from S and T should the company purchase to honour the contract requirement and yet minimize cost ? Make LPP and solve graphically.

IN NCERT TEXTBOOK

rnEXERCISE 12.2Q No 2 ANSWERIS WRITEN BACKSIDE IS(30of one kind and 10 of the other kind).BUT IN YOUR NCERT SOLUTION ANSWER IS(20 of one kind and 10 of the other kind). IS NCERT ANSWER IS WRONG?

ques. A farmer decides to plant up to 10 hectares with cabbage and potatoes . He decides to grow at least 2 but not more than 8 hectares of cabbage and at least 1 but not more than 6 hectares of potatoes. if he can make a profit of Rs. 1500 per hectare on cabbage and Rs. 2000 per hectare on potatoes , how should he plan his farming so as to get the maximum profit , assuming the total yeild that he gets is sold.

david wants to invest atmost Rs.12000 in bonds A and B .Acoording to the rule ,he has to invest atleast Rs. 2000 in bond A andatleast Rs. 4000 in bond B. If the rates of the interest on Bonds A and B are 80% and 10% per annum ,formulate the problem as L.P.P and solve graphically for maximum interest. Also determine the maximum interst received in a year.

A company manufactures two types of sweaters.type A and type B.it cost 360 to make one unit of type A and120 to make aunit of type B.THe company can make almost 300 sweaters and can spend atmost 72000 a day.The number of sweater of typeA can not exceed the number of typeB by more than 100.the company makes aprofit of 200 for type A and 20 for type B.find maximum profit.

Reply ASAP.

^{3}= a^{3}- b^{3}-3ab(a-b) then tick the correct of these when x = p^{1/3}- p^{-1}/3(a) x

^{3}+3x = p+1/p (b) x^{3}+3x = p -1/p (c) x^{3}+3x = p+1 (d) none of these