Math Answers

Suppose that the utility function for two products is given by U = x²y, and the budget constraint is 2x + 3y = 120. Find the values of x and y that maximize utility.

Suppose that the utility function for two

commodities is given by U = x² y³ and the budget constraint is 10x + 15y = 250. Find the values of x and y that maximize utility 

Transportation problem

1 2 3 4

50 750 300 450

650 800 400 600

400 700 500 550

Demand 10 10 10 10

Supply 12 17 11

Boundary points are 1,-1,6, and -6 . Divid the w axis into intervals defined by the Boundary points the derermain the sign of f(w). W=-7,-5,0,2,7. F(-7)=? F(-5)=? F(0)=? F(2)=? F(7)=?

Explain the difference between R500 and -R500 on a bank statement

Solve (d ^ 2 * y)/(d * x ^ 2) - 2tan x * (dy)/(dx) + 5y =

Write the statements in symbolic form

, and



and the indicated letters to

represent compound statements.

a) Let s = “stocks are increasing” and i = ”interest rates are steady”.

i. Stocks are increasing but interest rates are steady.

ii. Neither are stocks increasing nor are interest rates steady

A group of students study at least one of the following subjects:biology, chemistry and physics. 36 of them study chemistry, 39 study biology and 41 study physics.15 study physics. 9 study all the three subjects. @draw a Venn diagram to illustrate this information.(b)from your diagram find:(1) the total number of students in the group.(2)the number of students who study only one subject.@the universal set U={2,3,5,7},p={2,5}and Q={5,7}find:(1)(PnQ),(2)P'UQ'. State the relationship between (1)and(2)(b)in a class of 50 students, 30 offer economics,17 offer government and 7 offer neither economics nor government. How many students offer both subjects.

Use transformations to graph each of the following y=_(x+5)^2-4

Let A = {a,b,c,d}, B = {1,2,3}, and R = {(a,2), (b, 1), (c, 2), (d, 1)}.

(a)Is R a function?

(b)Is R−1 a function?

Explain your answers.