Consider the following table. It provides you with the Marginal Rate of Substitution between two goods. These values describe the consumer's indifference curve.

Quantity of Y Quantity of X MRS

5 1 5

4 2 2

3 3 1

2 4 0.5

1 5 0.2

Suppose the Price of X is $10 and the Price of Y is $2. The consumer's income is sufficient to reach only the optimal consumption point on this indifference curve.

Given these prices the consumer should consume........ units of X and......... units of Y.

Solve for units x and y