Imagine that Jackson Tech Innovations, LLC$,$ refurbishes $450,000$ laptops annually. The CEO, Olivia Jackson, is interested in establishing a performance metric for evaluation and future benchmarking. She has asked you to calculate a multifactor productivity measure for the past year to set a standard for future comparisons. You have gathered the following data: Resource inputs included labor, $15,000$ hours; $450$ refurbishment kits; and energy, $95,000$ kilowatt$-$hours. The average labor cost last year was $$2$ per minute, each refurbishment kit cost $$1,500,$ and energy costs were $$5$ per kilowatt$-$hour. a$)$ Calculate the multifactor productivity? b$)$ If Jackson Tech employs more specialized technicians, they can refurbish $550,000$ laptops annually. By what amount could labor costs increase without decreasing the total productivity calculated in part a$?$