A firm is considering abandoning its old plant, built $25$ years ago, and constructing a new facility that has $60\%$ more square footage. The original cost of the old facility was $$500,000,$ and its capacity in terms of standardized production units is $200,000$ units per year. The capacity of the new laboratory is to be $500,000$ units per year. During the past $25$ years, costs of laboratory construction have risen by an average of $4\%$ per year. If the cost$-$capacity factor, based on square footage, is $0\mathrm{.}80,$ the estimated cost of the new laboratory will beQuestion $16$ Select one:a$.$$$2,774,313$b$.$$$1,600,000$c$.$$$1,274,515$d$.$$$1,941,330$