An engineer must decide between two ways to pump concrete to the top of a seven$-$story building. Plan $1$ requires the leasing of equipment for $$60,000$ initially and will cost between $$0\mathrm{.}40$ and $$0\mathrm{.}95$ per metric ton to operate, with a most likely cost of $$0\mathrm{.}50$ per metric ton. The pumper can pump $100$ metric tons per $8-$hour day. If leased, the asset will have a contract period of $5$ years. Plan $2$ is a rental option that will cost $$20,000$ per year. In addition, an extra $$15\mathrm{.}5$ per hour labor cost will be incurred for operating the rented equipment per $8-$hour day. Which plan should the engineer recommend if the equipment will be needed for $60$ days per year? The MARR is $11\%$ per year.

The annual worth of plan $1$ lease optimistic is $

$.$

The annual worth of plan $1$ most likely is $

$.$

The annual worth of plan $1$ pessimistic is $

$.$

The annual worth of plan $2$ rental is $

$.$

Plan $1$ lease optimistic is

$($Click to select$)$

than rental of plan $2.$

Plan $1$ most likely is

$($Click to select$)$

than rental of plan $2.$

Plan $1$ lease pessimistic is

$($Click to select$)$

than rental of plan $2.$