Question

A manufacturer of bicycles has 4815 wheels, 2305 frames, and 2255 handlebars. (a) How many bicycles can be manufactured using these parts? (b) How many parts of each kind are left over? (c) Which part limits the production of bicycles?

Name: Problem 73, Chapter 3: Chemistry The Central Science
Uploaded: 2021-04-22T18:04:04-08:00
Duration: 2 min 25 s
Channel: Narayan Hari
Description: A manufacturer of bicycles has 4815 wheels, 2305 frames, and 2255 handlebars. (a) How many bicycles can be manufactured using these parts? (b) How many parts of each kind are left over? (c) Which part limits the production of bicycles?

   A manufacturer of bicycles has 4815 wheels, 2305 frames, and 2255 handlebars. (a) How many bicycles can be manufactured using these parts? (b) How many parts of each kind are left over? (c) Which part limits the production of bicycles?

Chemistry The Central Science

Theodore E. Brown,… 12th Edition

Chapter 3, Problem 73

Instant Answer

Solved by Expert Narayan Hari

04/22/2021

Step 1

Since each bicycle requires 2 wheels, 1 frame, and 1 handlebar, we can calculate the number of bicycles by dividing the total number of each part by the number required for one bicycle. The number of bicycles that can be manufactured is the smallest number Show more…

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A manufacturer of bicycles has 4815 wheels, 2305 frames, and 2255 handlebars. (a) How many bicycles can be manufactured using these parts? (b) How many parts of each kind are left over? (c) Which part limits the production of bicycles?

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Key Concepts

Remainder Calculation

After the production process uses up as many complete sets of parts as possible, any leftover parts are determined by subtracting the amount used from the initial stock. This concept helps in managing resources efficiently by identifying what remains after production.

Integer Division in Production

When assembling products from discrete parts, the total number of complete products is found by dividing the available quantity of each part by the number of parts needed, using integer division since partial products cannot be built. This involves taking the floor of the division result to get the largest whole number of products that can be made.

Limiting Factor

This concept involves identifying the resource that restricts the overall production or output. In any process where multiple inputs are required, the input that is available in the smallest proportion (relative to its usage requirement) will determine the maximum possible output.

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