A retired person wants to invest anamount of 50000. His broker recommends investing in two type of bonds` 'A' and 'B'` yielding 10% and 9%return respectively on the invested amount.He decides to invest at least * 20000 inbond 'A' and at least 10000 in bond 'B' He also wants to invest at least as much inbond 'A' as in bond B'. Solve this line arprogramming problem graphically tomaximise his returns.

A retired person wants to invest an amount of Rs 50000. His broker recommends investing in two types of bonds A and B yeilding 10% and 9% return respectively on the invested amount. He decides to invest at least Rs 20000 in bond A and at least Rs 10000 in bond B. He also wants to invest at least as much in bond A as in bond B. Slove this linear programming problem graphically to maximize his returns.

A retired person wants to invest an amount upto Rs 20,000. His broker recommends investing in two types of bonds A and B, bond A yielding 10% return on the amount invested and bond B yielding 15% return on the amount invested. After some consideration he decides to invest atleast Rs 5,000 in bond A and not more than Rs 8,000 in bond B. He also wants to invest atleast as much in bond A as in bond B. How should he invest to maximise his return on investment?

Anil wants to invest at the most Rs.12000 in bonds. A and B. According to rules, he has to invest at least Rs.2000 in Bond A is 8% per annum and on Bond B, it is 10% per annum, how should he invest his money for maximum interest ? Solve the problem graphically.

A retired person has Rs 70,000 to invest and two types of bonds are available in the in the market investment. First type of bond yields an annual income of 8% on the amount investment invested and second type of bond yields 10% per annum. As per norms, he has to invest minimum in the first type and not more than 30,000 in the second type. How should investment, so as to get maximum returns, after one year of investment?

Mr Dass wants to invest 12000 in Public Provident Fund (PPF) and inNational bonds. He has to invest at least 1000 in PPF and at least 2000 in bonds. If the rate of interest on PPF is 12% per annum and that on bondsis 15% per annum, how should he invest the money to earn maximum annual income? Also find the maximum annual income.

Amartya wants to invest ₹45,000 in Indira Vikas Patra (IVP) & in Public Provident fund (PPF). He wants to invest at least ₹ 10,000 in PPF & at least ₹5000 in IVP. If the rate of interest on PPF is 8% per annum & that on IVP is 7% per annum. Formulate the above problem as LPP to determine maximum yearly income.