Consider the following information given below:

$\backslash$table$[[($ $ in millions,excep,as$,$noted,,,,Yea,r$,$Year,r$,1,,$Year $2,,,$Year $3,,$Year $4,,$Year $5-10],[$Investment$,,,,,,,$$$10,,,,,,,,,,,,,],[$Production $($mil$,$lions,of$,$pounds,per,year$),,,0,,0,,,44,,,88,,88,,88],[$Spread $($$ per p$,$pound$),,,,,,$$$1.,,$$$1.,,,,$$$1\mathrm{.}24,,,$$$1\mathrm{.}24,,$$$1\mathrm{.}24,,$$$0\mathrm{.}99],[$Net revenues,,,,,,,$$,0,$$$,0,,$$$,54\mathrm{.}56,$$$,,109\mathrm{.}12,$$$,109\mathrm{.}12,,87\mathrm{.}12],[$Production cost$,,,,,,,$$$,0,$$$,0,,,$$ $34,,,$$ $34,,$$ $34,,$$ $34],[$Transport$,,,,,,,$$$,0,,0,,,$$$8,,,$$$9,,$$ $9,,$$$9],[$Other costs,,,,,,,$$,0,$$$,24,,,24,,,$$ $24,,$$ $24,,$$ $24],[$Cash flow,,,,,,,$ $1,,-$$$,,,,-$$ $11\mathrm{.}44,,$$$,42\mathrm{.}12,,$$ $42\mathrm{.}12,,20\mathrm{.}12]]$

NPV $($at $r=9\%)=-$$$5\mathrm{.}34$

Production and transport costs are variable costs while other costs are fixed.

a$.$ Calculate the NPV of the proposed polyzone project, if the spread in year $4$ holds at $$1\mathrm{.}24$ per pound and what's the right management decision?

b$.$ Calculate the NPV of the proposed polyzone project, if the U$.$S$.$ chemical company can start up polyzone production at $44$ million pounds in year $1$ rather than year $2$ and what's the right management decision?

c$.$ Calculate the NPV of the proposed polyzone project, if the U$.$S$.$ company makes a technological advance that reduces its annual production costs to $$29$ million. Competitors' production costs do not change and what's the right management decision?