Q$2.$ Armena Manufacturing Corp. manufacturers composters. It estimates that material costs are $$43$ per composter. Armena sells its composters for $$70$ each and it can produce a maximum of $3200$ composters per month. Lease and overhead expenses are $$54,000$ per month.

a$)$ What is the break$-$even volume per month?

b$)$ What is the monthly net income at a volume of $2500$ composters per month, $2800$ composter per month?

c$)$ What is the monthly net income if Armena operates at $50\%$ of capacity during a pandemic?