Problem 3 The performance of a GPU is often measured in the number of polygons per second being rendered. Consider a GPU with 2 processing cores, each capable of rendering a polygon in parallel. A video game requires on average 100 polygons per millisecond to be rendered. Each core can render a polygon in 15 microseconds. Polygons are placed in a single queue shared for the two GPU cores. Answer the following: pable of rendering a povyeoan render a polygon in 15 a) What queuing system would you use to model this system? State any assumptions you need to make for the model to hold. b) If each polygon can be described with 3 pairs of 64-bit floating point numbers, how much video memory (in bytes) is being used on average? Consider that a polygon being rendered still occupies space in memory c) What is the probability that the GPU will be idle? d) What is the average amount of time it takes for a polygon to be rendered? Problem 3 The performance of a GPU is often measured in the number of polygons per second being rendered. Consider a GPU with 2 processing cores, each capable of rendering a polygon in parallel. A video game requires on average 100 polygons per millisecond to be rendered. Each core can render a polygon in 15 microseconds. Polygons are placed in a single queue shared for the two GPU cores. Answer the following: pable of rendering a povyeoan render a polygon in 15 a) What queuing system would you use to model this system? State any assumptions you need to make for the model to hold. b) If each polygon can be described with 3 pairs of 64-bit floating point numbers, how much video memory (in bytes) is being used on average? Consider that a polygon being rendered still occupies space in memory c) What is the probability that the GPU will be idle? d) What is the average amount of time it takes for a polygon to be rendered