An individual consumes products X and Y and spends $36 per time period. The prices of the two goods are $3 per unit for X and $2 per unit for Y. The consumer in this case has a utility function expressed as:

U(X, Y) = .5XY

a. Express the budget equation mathematically by plugging in the given information. Use capital letters and a single space between operators.

b. Determine the values of X and Y that will maximize utility.

c. Determine the total utility that will be generated per unit of time for this individual. (no decimals)

There is a small, family-owned store that sells food and household goods in a small town. the owners have good relations with the community, especially with local farmers who supply much of the food. the farmers aren't organized into a cooperative or union, and the store deals with each individually. suppose the store wanted to buy some farms to control the supply of certain vegetables. how would you classify this strategic move? select one: a. horizontal integration b. forward integration c. backward integration d. concentric integration

The usa today reports that the average expenditure on valentine's day is $100.89. do male and female consumers differ in the amounts they spend? the average expenditure in a sample survey of 47 male consumers was $135.67, and the average expenditure in a sample survey of 38 female consumers was $68.64. based on past surveys, the standard deviation for male consumers is assumed to be $34, and the standard deviation for female consumers is assumed to be $17.

The common stock of ncp paid $1.35 in dividends last year. dividends are expected to grow at an annual rate of 5.30 percent for an indefinite number of years. a. if ncp's current market price is $22.57 per share, what is the stock's expected rate of return? b. if your required rate of return is 7.3 percent, what is the value of the stock for you? c. should you make the investment? a. if ncp's current market price is $22.57 per share, the stock's expected rate of return is