Kyle is studying the feasibility of producing a new product. His existing facility has a capacity to manufacture $2000$ new units per units per month. The unit cost is $$75.$ Estimated fixed costs are $$3360000$ per year and variable costs are $$25$ per unit. Competitors sell a similar product for $$350$ each.

a$)$ What is the breakeven point?

b$)$ What is the above breakeven point as a percentage of capacity?

c$)$ What would the monthly net income be at $80\%$ capacity?

d$)$What would unit sales have to be to attain a monthly net income of $$100000?$