Hw-7

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Broward College *

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647099

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Electrical Engineering

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Feb 20, 2024

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docx

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Isabella Suarez PID: 6387215 EEL4709C RVC 1238 Dr. Gang Quan Hw7 6.2 You are trying to bake 3 blueberry pound cakes. Cake ingredients are as follows: 1 cup butter, softened 1 cup sugar 4 large eggs 1 teaspoon vanilla extract 1/2 teaspoon salt 1/4 teaspoon nutmeg 1 1/2 cups flour 1 cup blueberries The recipe for a single cake is as follows: Step 1: Preheat oven to 325°F (160°C). Grease and flour your cake pan. Step 2: In large bowl, beat together with a mixer butter and sugar at medium speed until light and fluffy. Add eggs, vanilla, salt and nutmeg. Beat until thoroughly blended. Reduce mixer speed to low and add flour, 1/2 cup at a time, beating just until blended. Step 3: Gently fold in blueberries. Spread evenly in prepared baking pan. Bake for 60 minutes. 6.2.1 [5] <COD §6.2> Your job is to cook 3 cakes as efficiently as possible. Assuming that you only have one oven large enough to hold one cake, one large bowl, one cake pan, and one mixer, come up with a schedule to make three cakes as quickly as possible. Identify the bottlenecks in completing this task. Ans: 1. Prepare First Cake:  Preheat oven.  Grease and flour the cake pan.  Follow the recipe steps until the cake batter is in the oven baking. 2. Prepare Second Cake:  While the first cake is baking, clean and reuse the bowl, mixer, and pan.  Prepare the second cake batter and place it in the oven as soon as the first cake is done. 3. Prepare Third Cake:  Repeat the process for the third cake while the second cake is baking. Bottlenecks:  Limited oven capacity is the main bottleneck, as only one cake can bake at a time.  Reusing the same bowl, mixer, and pan slows down the process as you have to wait for them to be available after each cake.

6.2.2 [5] <COD §6.2> Assume now that you have three bowls, 3 cake pans and 3 mixers. How much faster is the process now that you have additional resources? Ans: 1. Simultaneous Preparation:  Preheat all three ovens.  Prepare all three cake batters simultaneously using the separate bowls and mixers.  Grease and flour the three cake pans.  Place each cake in its respective preheated oven. Improved Speed:  All three cakes can be baked concurrently, greatly expediting the overall process, and delivering a more efficient outcome. 6.2.3 [5] <COD §6.2> Assume now that you have two friends that will help you cook, and that you have a large oven that can accommodate all three cakes. How will this change the schedule you arrived at in Exercise 6.2.1 above? Ans: 1. Simultaneous Preparation with Help:  Each person handles one cake's preparation independently using separate equipment.  While one cake is baking, the others can continue preparing the remaining cakes simultaneously.  All three cakes go into the large oven together. Further Improvement:  Simultaneous preparation is maintained but with more hands dividing the tasks.  The larger oven allows baking all three cakes at once, eliminating staggered baking times. 6.2.4 [5] <COD §6.2> Compare the cake-making task to computing 3 iterations of a loop on a parallel computer. Identify data-level parallelism and task-level parallelism in the cake-making loop. Ans:  Data-Level Parallelism: In cake-making, preparing multiple cake batters simultaneously resembles data-level parallelism. Each batch of ingredients is processed separately, similar to operating on different data elements concurrently in computing tasks.

 Task-Level Parallelism: Baking multiple cakes at once mirrors task-level parallelism. Each cake's preparation and baking represent separate tasks carried out concurrently, akin to executing different iterations of a loop simultaneously on a parallel computer.

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