Last year, consumers spent $$1,200,000$ on a product category in which On$-$the$-$Spot is one brand. On$-$the$-$Spot costs a retailer $$2$ and normal retail margins for this type of product are $33\mathrm{.}3\%.$ On$-$the$-$Spot$$s manufacturer is about to launch a nationwide advertising campaign that will bring its fixed costs up to $$200,000.$ Wholesaler margins are $25\%$ and mfr$.$ margins are $66\mathrm{.}7\%.$ Margins are calculated as the percentage of each company$$s own selling price. Assume the retail price is the same for all the products in this category.

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a$)$ What market share must On$-$the$-$Spot$$s manufacturer capture to break even?

a$)$ What market share must On$-$the$-$Spot$$s manufacturer capture to break even?

$10\%$

$20\%$

$30\%$

$40\%$

$50\%$

None of the above is correct.

I attempted to solve this question but couldn't find the solution.

b$)$ What market share will yield the manufacturer a profit of $$150,000?$

b$)$ What market share will yield the manufacturer a profit of $$150,000?$

$45\%$

$67\mathrm{.}5\%$

$73\mathrm{.}5\%$

$87\mathrm{.}5\%$

$93\%$

None of the above is correct.

I attempted to solve this question but couldn't find the solution.