Suppose that Jane spends his entire income on good X and Y. The marginal utilities of both good X and Y are independent of the amount consumed of other good. The price of X is $2 per unit of X and the price of Y is $3 per unit of Y. A distribution of the total utilities of goods X and Y consumed is given below. Distribution of Total Utilities for Good X and Y for Jane. Number of Units Consumed Total Utility for X Total Utility for Y 1 20 24 2 38 45 3 54 63 4 68 78 5 80 87 6 90 90 Provided Mr. Jane has a monthly income of $ 24. How many units of Good X and Good Y should Mr. Jane buy?

Suppose that Jane spends his entire income on good X and Y. The
marginal

utilities of both good X and Y are independent of the amount consumed
of other

good. The price of X is $2 per unit of X and the price of Y is $3 per
unit of Y.

A distribution of the total utilities of goods X and Y consumed is
given below.

Distribution of Total Utilities for Good X and Y for Jane.

Number

of Units

Consumed

Total Utility for X Total Utility for Y

1 20 24

2 38 45

3 54 63

4 68 78

5 80 87

6 90 90

Provided Mr. Jane has a monthly income of $ 24. How many units of

Good X and Good Y should Mr. Jane buy?