Question
A consumer has utility function given by :
u{x1,x2} = min {2x1+x2, x1+2x2}. Given income m = 100, prices p1 = 20, p2 = 30, the amount of x1 in her utility maximizing bundle is:Solution
2x1+x2 = x1+2x2 S0, x1 = x2 Equate x1=x2 then put this in budget line. Solve for equilibrium bundle of x1 and x2. So, 20x1 + 30x2 = 100 50x1 = 100
X1 = 2 = x2
'A' varies directly as 'B'. If at 'A' = 25, value of 'B' is 40, then find the value of 'A' at 'B' = 96.
Divide 297 into two parts such that one may be to the other as 2:9.
...In a class of 250 students, 150 are girls and remaining are boys. Among boys, the ratio of number of boys who are wearing caps to those who are not wear...
What must be added to each term of the ratio 2:9 so that it may equal to 4:5?
The ratio of two numbers is 5:11. If each number is decreased by 2, the ratio becomes 4:9. Find the smaller numbers.
Find 'X' if the below three numbers are in proportion.
2.6, 1.3, X
If the mean proportion of 0.54 and 0.24 is 'x', then find the third proportion of (x + 8.64) and (2x + 5.28) .
The ratio of incomes of A and B is 3 : 5 and the ratio of their expenses is 4 : 7. If each of them saves Rs 3,000 per month, find A’s income.
A plot has to be divided among P, Q and R in the ratio 2:5:8 respectively. If the area of plot received by R is 4200m² more than the area of plot recei...
In 2018, the ratio of males to females in a club was 6:7. By 2019, the number of males had decreased by 10%, while the number of females had increased b...
