Sage manages a foundry that operates $12$ hours per day $240$ days per year. The daily demand for door knobs is $3,000.$ Assume she runs two production cycles per day$($one cycle for brass knobs and one for steel knobs$)-$ resulting in a target lot quantity$($Qp$)$ of $1,500$ units per production run. To produce each type of knob, the line must be reconfigured and$$ set$-$up between each production cycle. Assume the company is capable of producing $6,000$ door knobs per day and holding cost per unit is $$0\mathrm{.}85$ per year.

Assume the$$ set$-$up labor rate is $$15$ per$$ hour, what is the target$$ set$-$up time in$$ minutes?

Group of answer choices

$2\mathrm{.}6$

Cannot determine from the information given

$0\mathrm{.}044$

$60$

$1440$