Upon reflection, Mr$.$ Stich decides not to increase Brand X$\text{'}$s advertising budget. Instead, he thinks he might give retailers and incentive to promote Brand X by increasing their margins from $33\%$ to $40\%.$ The margin increase would be accomplished by lowering the price of the product to retailers. Wholesaler margins would remain at $12\%.$

$6$a$.$ If retailer margins are raised to $40\%$ next year, how many units will Brand X have to sell to break even?

$6$b$.$ How many units will Brand X have to sell to achieve the same profit impact next year as it did this year?

$6$c$.$ What would Brand X$\text{'}$s market share have to be for its profit impact to remain at this year's level.

$6$d$.$ What would Brand X$\text{'}$s market share have to be for it to generate a profit impact of $$350,000?$