A manufacturer of three products tries to follow a policy of producing those which continue

most to fixed cost and profit. However, there is also a policy of recoenizing certain minimum

sales requirements currently, these are:

Product:

Units perweek:

$x_1$

$x_2$

$x_3$

$20$

$30$

$60$

There are three producing departments. The product times in hour per init in each department

and the total times available for each week in each department are: The contribution per unit of product x$\_\{1\}$ X$2.$ X$\_\{3\}$ is Rs$\mathrm{.}10\mathrm{.}50,$ Rs$\mathrm{.}9\mathrm{.}00$ and Rs$\mathrm{.}8\mathrm{.}00$ respectively. The company has scheduled $20$ units of x$\_\{1\}30$ units of x$\_\{2\}$ and $60$ units of x$\_\{3\}$ for production in the following week, you are required to state:

Find out the product mix to maximize the profit.