A bicycle manufacturing company recently invested in new machinery to enhance its production process. Prior to acquiring this machimery, the company had a worlforce of $8$ employees who, on averape, produced $120$ bicycles per hour. The workers were compensated at a rate of $$15$ per hour, while the machinery cost was $$60$ per hour. With the implementation of the new machinery, the company was able to reassign two workers to other departments. However, the cost of using the machinery increased by $$20$ per how, while the production output increased by $8$ bicycles per hour.

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