Car as the following utility function: u(x, y)equals10upper x squaredy where x is her consumption of blu-ray disks with a price of $40 and y is her consumption of dvds with a price of $10. she has $1800 with which to spend on the two goods. determine the number of blu-ray disks and dvds that will maximize cary's utility. cary maximizes utility when she consumes nothing blu-ray disks and nothing dvds. (enter your responses using integers.)

She consumes 30 blue ray disk and 60 DVD respectively.

Step-by-step explanation:

Consider the provided information.

Calculate marginal utility of good

Differentiate with respect of x and y.

Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10.

The ratio of marginal utility of good x to y is equal to the price ratio:

Substitute the respective values.

She has $1800 with which to spend on the two goods.

Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10. She has $1800 with which to spend on the two goods.

Therefore,

Substitute the value of y in above equation.

Thus,

She consumes 30 blue ray disk and 60 DVD respectively.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

i think asking google will you get the answer to that question