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

Essay

XYZ Inc. manufactures a critical vaccine needed for homeland security, and its cost of production is given by the following function: $C=10 X^{2}-50 X+50$ , where $\mathrm{X}$ 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 $\mathrm{X}$ that would minimize the cost of the contract?