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XYZ Inc Manufactures a Critical Vaccine Needed for Homeland Security, and and Its

Question 57

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XYZ Inc. manufactures a critical vaccine needed for homeland security, and its cost of production is given by the following function: C=10X250X+50C=10 X^{2}-50 X+50 , where X\mathrm{X} is the number of thousands of vaccines produced. The government wants to go in for a cost plus contract and wants XYZ Inc. to produce as many vaccines as possible at the lowest total cost. What is the correct value of X\mathrm{X} that would minimize the cost of the contract?

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