Household preferences

Using data from household surveys, you have determined that the 'typical' household's

preferences are represented by the utility function,

U= (x+ 24)

y ,where x represents the quantity of fruit and vegetables consumed, and y represents the quantity of the composite good consumed. The associate marginal utilities are,

MUx=y and MUy=x+ 24

The price of fruit and vegetables is Px= $10 per kg, and the price of the composite good is normalised to Py= 1.

Suppose that, instead of transfers, the government decides to use vouchers re-deemable for fruit and vegetables. What value of voucher would the government need in order to achieve the 5kg consumption target? Hint: Your answer will be a function of the household's income.

You should assume that vouchers cannot have a negative value.

Pls draw the demand graph, I need to know where Budget line and the Income curve intercept on the optimization point.