$($b$)$ Blossom's Flowers purchases roses for sale for a grand graduation ceremony of XYZ

University. The roses are purchased for K$35$ a dozen and sold for K$55$ a dozen. Any roses

not sold on graduation ceremony day can be sold for K$20$ per dozen. The owner will

purchase $1$ of $5$ amounts of roses on graduation ceremony day: $150,250,400,550$ or $650$

dozen roses. Given $0\mathrm{.}35,0\mathrm{.}42,0\mathrm{.}18,0\mathrm{.}03$ and $0\mathrm{.}02$ are probabilities for the sale of $150,250,$

$400,550$ or $650$ dozen roses, respectively.

i$.$ Construct the conditional profit table.

ii$.$ Construct the expected profit table.

iii. Determine the action alternative associated with the maximization of expected

profits.

$(2$ Marks$)$