To the expert answering: I specifically need help on C and D$.$ I need work for the answers so I can thoroughly understand how it's done.

Synergyica, Inc. is a manufacturer and marketer of gas lamps for utilization in mining & natural resources operations. Total industry sales in this relevant market were $$100$ Million, with Synergyica's market share representing $5\%.$

Synergyica's contribution margin has steadily been $25\%.$

Synergyica's salesforce calls on their widespread distributor network to generate revenue. These distributors in turn sell the products to the industrial customers.

Distributors generate on average revenue of $$10,000$ per outlet for Synergyica.

Each sales rep earns $$50,000$ per year.

Synergyica has a corporate advertising & promotions campaign worth $$640,000,$ which has managed to effectively maintain their brand awareness & image in the resources industry.

$($a$)$ Compute Synergyica's sales revenue.

Sales revenue is $$5,000,000(5\%$ of $100,000,000).$

$($b$)$ Synergyica wants to increase their advertising budget by $$200,000$ to highlight their green initiatives and bolster brand presence further in the industry. This cost needs to be expensed.

~ What increase in dollar sales revenue would be needed to recoup this incremental advertising expenditure?

~ What increase in Synergyica's overall market share does this call for?

The increase in dollar sales revenue is $$800,000$ and the increase in overall market share is $\mathrm{.}8\%.$

What I need help with:

$($c$)$ Synergyica is seeking to hire $2$ more sales reps to expand further territories in their network by gaining access to additional distributors. Their cost becomes relevant and must be expensed.

~ How many new distributors would be required to cover the cost of hiring these $2$ new sales reps?

$($d$)$ Synergyica is considering a $10\%$ reduction in the price of its offerings.

~ What absolute increase in its sales revenue would be needed to maintain the present line contribution $($i$.$e$.,$ the present level of total contribution dollars$)?$

PLEASE show me work and give me and understanding why you used what figures and how you got them.