Consider the following situation faced by a manufacturing company $-$ marketing and sales reports predict that the company$$s low$-$price product will either be a blockbuster, a success, or a dud. Assume that the demand forecast for those three scenarios is$,$ respectively: $100$ thousand units per year with likelihood of $25\%,50$ thousand units per year with $50\%$ likelihood, or $10$ thousand units per year with $25\%$ likelihood.

The cost structure is assumed to be as follows. Capacity expansion incurs a fixed cost of $$0\mathrm{.}5$ million plus a marginal cost of $$10$ per unit of capacity; i$.$e$.,$ adding production capacity of $50,000$ units per year costs $$1\mathrm{.}0$ million. The process and product technology is commercially viable for four years $($at that point a new technology would be needed, an issue we will ignore for now$).$ The company expects each product to contribute about $$20$ in operating profits. A $25\%$ discount rate is used for these types of investment projects. Assume that the capacity expansion can only be done in increments of $10,000$ units. $($Round up or down the capacity calculations accordingly$).$ What is the manufacturing company$$s option value of waiting?

Group of answer choices

$53,400$

$-27,680$

$-76,250$

$172,320$