Zahra Company manufactures three sizes of kitchen appliances: small, medium, and large.

Product information is provided below.

Small

Medium

Large

Unit selling price

$

$150$

$$250$

$$500$

Unit costs:

Variable manufacturing

$(60)$

$(120)$

$(200)$

Fixed manufacturing

$(40)$

$(50)$

$(120)$

Variable selling and administrative

$(30)$

$(30)$

$(30)$

Unit profit

$

$20$

$ $50$

$$150$

Demand in units

$100$

$120$

$100$

Machine$-$hours per unit

$20$

$40$

$100$

The maximum machine$-$hours available are $3000$ per month.

If the product mix is optimized, what is the maximum Total Contribution Margin Zahra can obtain?