Kildare Medical Center, a for$-$profit hospital, has three investment opportunities: $(1)$ adding a wing for in$-$patient treatment of substance abuse, $(2)$ adding a pathology laboratory, and $(3)$ expanding the outpatient surgery wing. The initial investments and the net present value for the three alternatives are as follows:

Line Item Description Substance Abuse Laboratory Outpatient Surgery

Investment $$1,500,000$ $$500,000$ $$1,000,000$

NPV $185,500140,000135,000$

Although the hospital would like to invest in all three alternatives, only $$1\mathrm{.}5$ million is available.

Required:

$1.$ Rank the projects on the basis of NPV$,$ and allocate the funds in order of this ranking. If a blank requires an entry of zero, it can be left blank or answered with a $"0".$

Ranking Project Allocation

$1$

Substance abuse wing $fill in the blank $2$

$1,500,000$

$2$

Laboratory $fill in the blank $4$

$0$

$3$

Outpatient surgery wing $fill in the blank $6$

$0-$Cor

What project or projects were selected?

Substance abuse wing only $-$Correct

What is the total NPV realized by the medical center using this approach?

fill in the blank $1$ of $1$$

$185,000$XX incorrect

$2.$ Conceptual Connection: Assume that the size of the lot on which the hospital is located makes the substance abuse wing and the outpatient surgery wing mutually exclusive. With unlimited capital, which of those two projects would be chosen?

The substance abuse wing and the outpatient surgery wingXX incorrect

With limited capital and the three projects being considered, which projects would be chosen?

The substance abuse wingXX incorrect

What formula is used to find allocation and find total NPV realized by choising the substance abuse wing only in question $1??$