Because of the way our system works, you and I will pay that 10% in the form of taxes and insurance premiums. I for one, am glad to reward companies who are contributing to the solution for this crisis. Profit is the reward we give to companies for good behavior, and wouldn't you agree that companies who are making tests are behaving well?
No, I do not agree that profit is the reward for good behavior, nor that companies attempting to profit off making the tests are behaving well. In fact, profit is often the reward for some very, very harmful behavior. I would say it is at least borderline sociopathic to conflate the profit motive with the desire to do good. Your premise is, again, flawed.
I would be glad to pay for the tests through my taxes if it means people can get them now, for free.
The problem isn't the profit, it's the kinds of behaviours to which profit is allocated.
If profit really was a reward for good behaviour, no one would have a problem with it. (Except bad actors.)
In this situation, the goal is to get as many high quality tests out as possible.
If this is truly a reliable and useful test and results are available quickly, then the ideal level of profit is one that maximises that result - i.e. a small profit on each kit to encourage volume sales.
If the tests aren't reliable enough to be clinically useful and they're being sold to the public without a context (i.e. no information about what the result means in terms of changed behaviour or risk) then the kits should be banned for wasting everyone's time and money.
If you want to split hairs, I don’t have a problem with LabCorp profiting per se from the test. I have a problem with the cost being a barrier to people getting it. If the government were to pay them cost + a small profit to offer it free at the point of delivery, I would have no issue.
I have a philosophical problem with profit being the only motivation for producing the test, but that takes a backseat to practicality here.