1.Mary's utility preference for apples in comparison to all other goods is described by the function U(x,y) = xy, where x is the quantity of apples she has available to consume and y is the aggregate quantity of all other goods.Assume that Mary has 100 apples, $1,000 in cash on hand, and that a mixed bag of all other goods and services (anything but apples) can be purchased for $1 per bag.

a.Calculate the numerical value of Mary's U(x,y) function for her current endowment of apples and all other goods.

a.Find ten other combinations of apples and cash that would result in the same numerical value of U(x,y) as the value found in (a).

a.Graph the starting point and the other ten points found in (b)