### Manufacturing Problem**Context:** A company manufactures small electronic components called diodes. Each diode is worth $1.50. There are two production plants:- **Plant A** produced 4,443 diodes.- **Plant B** produced 5,557 diodes.**Problem Statement:** The supervisor was asked to calculate the total value of all the diodes. Without performing detailed calculations, the supervisor quickly responded with a total value of **$15,000**. The question is how the supervisor arrived at this total so promptly when one would typically multiply the number of diodes produced by each plant by $1.50 and then sum the results.**Objective:** Explain the reasoning behind the supervisor's rapid computation of the total value. What shortcut or logical reasoning might the supervisor have used to arrive at the solution quickly?**Considerations:** Calculate the actual total value using the following steps and consider any estimation techniques:1. Calculate the total number of diodes from both plants: - Total diodes = 4,443 (Plant A) + 5,557 (Plant B). 2. Calculate the total value using the unit price: - Total value = Total diodes × $1.50.3. Compare with the supervisor’s estimated total of $15,000 and explore possible estimation methods or shortcuts.

manufactures small electronic components called diodes. Each diode is worth $1.50. Plant A produced 4443 diodes and Plant B produced 5557 diodes. The supervisor was asked what the total value of all the diodes was. The supervisor immediately responded "$15,000." The supervisor would not have been able to compute the value so quickly if he had to multiply $1.50 by 4443 and then add this to the result of $1.50 times 5557. Explain how you think the supervisor got the answer so quickly? $1.50

manufactures small electronic components called diodes. Each diode is worth $1.50. Plant A produced 4443 diodes and Plant B produced 5557 diodes. The supervisor was asked what the total value of all the diodes was. The supervisor immediately responded "$15,000." The supervisor would not have been able to compute the value so quickly if he had to multiply $1.50 by 4443 and then add this to the result of $1.50 times 5557. Explain how you think the supervisor got the answer so quickly? $1.50

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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