Refer to the data. if the consumer has money income of $52 and the prices of j and k are $8 and $4 respectively, the consumer will maximize her utility by purchasing:
a. 2 units of j and 7 units of k.
b. 5 units of j and 5 units of k.
c. 4 units of j and 5 units of k.
d. 6 units of j and 3 units of k.

Option C  ( 4 units of J and 5 units of K)

Step-by-step explanation:

First of all to maximize utility means to get the most value from the available money, and in this case it means to buy the maximum amount of items J and K with 52 dollars.

The correct answer is c. 4 units of J and 5 units of K.

Step-by-step explanation:

To maximize the utility income we have to try to use most of the $52 buying J and K.

The equation is Utility= J *$8 + K * $4

a. 2 units of J and 7 units of K.

Utility= 2 *$8 + 7 * $4= 44 We have more money to spend.

b. 5 units of J and 5 units of K.

Utility= 5 *$8 + 5 * $4= 60 We don´t have enough money.

c. 4 units of J and 5 units of K.

Utility= 4 *$8 + 5 * $4= 52 maximize.

d. 6 units of J and 3 units of K.

Utility= 6 *$8 + 3 * $4= 60 We don´t have enough money.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5