I think the context within where these projects are being created for heavily influence that decision on whether money or time is more important. In a business, or the industry, most decisions there are based on money and costs and profit. A business only really grows if it is bringing in money which is why those kinds of projects care more about money than time. However, projects that are done in research spaces and for the greater good of the world are often always given much more time to ensure that the product that is being brought out is the best it can be, and not a rushed work.

I think the answer to this issue can be found in the fact that first we have to calculate accurate calculations for production cost and production failure rate in the initial production plan. In this case, the production rate and the required failure are the two main axes of time and money, which is time on the horizontal axis and money on the vertical axis. However, it should be noted that playing with any of these parameters will have consequences in the production stages. So, in my opinion, both of them are important for production, which will be included in the production plan, and are important factors in the project's break-even cost.

While both time and money are important in project planning, but I believe in project planning, time should take priority over money, especially for products that require high testing and quality assurance. The rush to save money in development often results in product failure and regulatory issues.  However, the priority can shift depending on the project type. For example, a medical device demands thorough testing to ensure patient safety, whereas a software development project may allow for cost efficiency through iterative updates. While money is important, the risks associated with cutting corners in certain industries far outweigh the benefits, making time a more critical factor in ensuring long term success.

I am slightly perplexed as to why the original post in this thread proposed that the less time a project takes, the less beneficial the project will be. How beneficial a product is to the customer is dependent on the product and its use. In terms of planning, there needs to be a careful balance between time and money. As the other posts have mentioned, time and money are dependent on each other. The longer a project takes, the more money that is needed to fund the additional things that is taking more time. The reverse is also true. With the stakeholders, there needs to be clarity and honesty so that there is trust. Additionally, the stakeholders need to see milestones met and results, and the project running according to plan. Time and money are equally as important and need careful planning. Just as there is limited time, there is also limited financing. 

I believe it is more important to consider money during the planning phase. I say this because without money, there is no project and deadlines don't matter. You can be given 2 years to replace a broken fridge, but if you never have the money to go buy a new fridge then 2 years will pass and that fridge will never be replaced. The same goes for complex projects. You can be given the next 40 years to develop a noninvasive heart monitor to detect heart attacks in elderly patients, but without the money to obtain the facilities, personnel, and materials needed to conduct initial research, build a prototype, test the prototype, and mass produce the final product, none of that matters. Even if there is enough money to begin the project, without consistent, satisfying funding the project will collapse at any stage. Employees will not get paid, materials will not be purchased, and the project comes to a screeching halt. However, this is not the case the other way around. With enough money, projects can absolutely afford to miss deadlines. Deadlines can be extended, reapplied to, and stages of the project can simply be resumed or restarted without much worry. When deadlines are missed, even if it collapses the project, enough money can simply restart it if that is what is desired. The collapse of a project becomes nothing more than a delay. It is unfortunate to say, but money makes the world go 'round. Money may not be able to buy happiness, but it sure can buy a lot. 

If a project's cost estimate is above a certain threshold, then stakeholders may cancel the project all together. It's important to consider not just time and money but also experience. If a company accepts similar projects, then they may be well equipped to solve certain issues more effectively than companies that do not. This might warrant a higher price tag, but it makes up for it with better value in that they most likely will handle important documentation and ensure their product works. However, if a company has no experience in dealing with a certain issue, then it is not wise to throw more money at them to expedite the process given their lack of familiarity in the process. The company can hire as many people as they want, but that would not change the fact that a proper project plan format has not been developed or fine tuned as much as the one that a company is specialized in would have.

In order to reduce the time and money needed for a project while also increasing the chance for a successful product is to gather up all previous meeting minutes, schedules, and procedures for previous successful projects. Those can be used as templates for planning the next project, and better gauge how much time and money is needed. I think that a project can have spending and time limits as long as the final product doesn't compromise patient safety or lose effectiveness. Increasing time and money on a project will increase the chance of success as long as it doesn't go wasted.

Overall, there as a balance to make for spending to make a successful product to not waste time and money in costly activities that could be replaced with equally effective, and reliable activities that were designed before and shown to be cost-effective.