A company produces two products, A and B$,$ the production costs of which are shown below:

A B

K K

Direct material cost $1010$

Direct labour material cost $59$

Variable overhead $59$

Fixed overhead $59$

Total production cost $2537$

Fixed overhead is absorbed on the basis of direct labour cost.The products pass through two processes,Y and Z$,$with associated labour cost of K$40,000$ per direct labour hour in each.The direct labour associated with the two products during these processes is shown below:

Process Time Taken

Product A Product B

Y $10$ mins $39$ mins

Z $20$ mins $15$ mins

Selling prices are set by the market,the current market price for A being K$65$ and that for B K$25.$ At these prices, the market will absorb a many units of Aand B as the company can produce. The ability of the company to produce A and B is limited by the capacity to process the products in Y and Z$.$The company operates a two$-$shiftsystem,giving $16$ working hours per day.Process Z is a single$-$process line, and for technical reasons this line can only be operated for a maximum of $12$ hours per day.Process Y is a dual processline,and thus two units can be processed simultaneously, although this douuubles the requirement for labour. Process Y operates for the full $16$ working hours each day.

You are required to: Based on the above information,what production plan should the company follow in order to maximize profit?