The image contains a problem involving two products $($A and B$)$ manufactured by X Ltd$.,$ with the data provided to calculate the price mix for maximum profitability, break$-$even point $($BEP$),$ and other financial metrics.

Here$$s a breakdown of the question:

I. Price Mix for Maximum Profitability

Product A:

Selling price per unit: $32,30,28$

Demand: $900,1,000,1,500$ units per month

$8$ labour hours per unit

Product B:

Selling price per unit: $22,20,18$

Demand: $1,600,2,000,3,000$ units per month

$4$ labour hours per unit

Cost Structure per Unit:

Product A:

Direct material: $4$

Direct labour: $6$

Variable overhead: $10$

Total cost: $20$

Product B:

Direct material: $3$

Direct labour: $5$

Variable overhead: $6$

Total cost: $14$

Fixed overheads: $32,400$ per quarter

Factory capacity: $20,000$ labour hours per month

You are required to compute the best price mix for maximum profitability based on these parameters. Q$3$ Answer the following:

X Ltd$.$ manufictures and markets $2$ products A and $B,$ the demand in the market of which

fluctuates with the prices quoted. As a result of the deliberations of its recent Sales Cmnference

the following data were agreed upon as a working basis:

$8$ labour hours are required to produce product A and $4$ labour hours to produce product $B$ and

maximum cepacity of the factory is restricted to $20,000$ labour hours per month.

The cost structure per unit of production is as under.

Fixed overheads are Rs$.32,400$ per quarter.

You are required to compute the possible combinations and arrive at a proper price mix for

maximum profitability.

II$.$ If fixed costs are $$4,000$ variable costs $$32,000$ and break$-$even point $$20,000.$ find: $($i$)$

Profit$-$volume ratio; $($ii$)$ Sales; $($iii$)$ Net profit; $($iv$)$ Margin of safery:

III. From the following data, calculate break$-$even point $($BEP$)$:

If sales are $20\%$ above BEP, determine the net protit.