Variable cost per unit of product X and Y of Karan Plc are as follows: Direct Material Cost X 20$ and Y 30$ , Direct Labour Cost [5 $ per each hour] X 10$ and 15$, Variables overhead Cost X 20$ and Y 25$ Selling price unit for X and Y are 80$ and 100$ respectively. The number of labour hours available for month of July 2017 is restricted to 15,000. Expected sales for month for X and Y are 3,000 and 5,000 units respectively. You are required to,

i. prepare a production plan which maximizes the profit. ii. If the annual fixed cost for the month is 110,000$ compute the profit for the month of July 2017 in terms of the above production plan. iii. If the capacity of obtaining extra labour, determine the maximum rate of salary payable per labour hour.