resulting in $$300,000$ profit from sales.

With a large process line, you could handle the high figure of $$650,000.$ However, with a small process line you could not and would be forced to expand $($at a cost of $$175,000),$ after which time your profit from sales would be $$500,000$ rather than the $$650,000$ because of the lost time in expanding the process. If you do not expand the small process, your profit from sales would be held to $$450,000.$ If you build a small process and the demand is low, you can handle all of the demand.

The best option is to open a $,$ with an expected value of $ $($round your response to the nearest whole number$).$