/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 116 The fixed costs of operating a b... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The fixed costs of operating a business are the costs incurred regardless of the level of production. Fixed costs include rent, fixed salaries, and costs of leasing machinery. The variable costs of operating a business are the costs that change with the level of output. Variable costs include raw materials, hourly wages, and electricity. Suppose that a manufacturer of jeans has fixed daily costs of \(500 and variable costs of \)8 for each pair of jeans manufactured. Write a linear equation that relates the daily cost C, in dollars, of manufacturing the jeans to the number x of jeans manufactured. What is the cost of manufacturing 400 pairs of jeans? 740 pairs?

Short Answer

Expert verified
  • The linear equation that relates the daily cost C, in dollars, of manufacturing the jeans to the number xof jeans manufactured: C=8x+500
  • The cost of manufacturing 400 pairs of jeans is: $3700
  • The cost of manufacturing 740 pairs of jeans is:$6420

Step by step solution

01

Step 1. Given information 

A manufacturer of jeans has fixed daily costs of $500 and variable costs of $8 for each pair of jeans manufactured.

02

Step 2. Required to find 

  • Write a linear equation that relates the daily cost C, in dollars, of manufacturing the jeans to the number x of jeans manufactured.
  • What is the cost of manufacturing 400 pairs of jeans.
  • What is the cost of manufacturing 740 pairs of jeans.
03

Step 3. Finding the linear equation 

The required equation is:C=8x+500

04

Step 4. Finding the cost of manufacturing jeans

Cost of manufacturing 400 pairs of jeans

Put x=400in above linear equation

C=8×400+500

C=3200+500

C=3700

Cost of manufacturing 740 pairs of jeans

Put x=740in above linear equation

C=8×740+500

C=5920+500

C=6420

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.