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You're managing a project using the earned value for cost management. The project planned value $($PV$)$ is $$200,000.$ The project earned value $($EV$)$ is $$100,000.$ The actual cost $($AC$)$ is $$150,000.$ What is the schedule performance index $($SPI$)$ for the project?

a$.0\mathrm{.}67$

b$.0\mathrm{.}75$

c$.2$

d$.0\mathrm{.}5$