### Understanding Linear Cost Functions in ManufacturingThe simplest cost function is the linear cost function $ C(x) = ax + b $, where $ b $ represents the fixed costs of operating a business and $ a $ represents the costs associated with manufacturing one additional item. Suppose that a small bicycle manufacturer has daily fixed costs of $1942, and each bicycle costs $73 to manufacture. Suppose that the government imposes a tax of $4 per bicycle manufactured for the business.### Problem:**(a)** Write a linear function that expresses the total cost $ C(x) $ when $ x $ bicycles are manufactured in a day.Given:- Fixed costs ($ b $): $1942- Manufacturing cost per bicycle: $73- Tax per bicycle: $4**Solution:**First, calculate the total variable cost per bicycle: Cost per bicycle = Manufacturing cost + Tax = $ 73 + 4 = 77 $The linear cost function is: \[ C(x) = 77x + 1942 \]**(b)** What is the total cost when 5 bicycles are manufactured in a day?To find the total cost when 5 bicycles are manufactured: Substitute $ x = 5 $ in the cost function $ C(x) = 77x + 1942 $.\[ C(5) = 77(5) + 1942 = 385 + 1942 = 2327 \]The total cost when 5 bicycles are manufactured in a day is **$2327**.

Given query to find cost func and cost at for 5 bicycle.

Answered: piest cost ful is the near is the fixed…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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A company produces very unusual CD's for which the variable cost is $ 11 per CD and the fixed costs are $ 35000. They will sell the CD's for $ 55 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C = $ Write the total revenue R as a function of the number of CD's produced. R= $ Write the total profit P as a function of the number of CD's produced. P = $ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is
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Answer A and B with work shown
Consider an axisymmetric feeding bowl as shown on the left below. Its cross-section is shown on the right with the axis of symmetry aligned along the y-axis. The top curve of the cross-section is given by the function b. What is the capacity of this bowl? Capacity= cm³ c. Find the volume of water inside the bowl if the water level is 3.3 cm measured from the bottom. Volume of water = 1 961 y = C 961 The horizontal base joins the endpoints of the top curve. Both x and y are in cm. You may need to use a computer algebra system to solve some of the following problems. Round all your answers to at least 3 significant figures. a. Assume that the bowl is solid and is made with plastic. Find the amount of plastic (as a volume) required to make this bowl. Amount of plastic = cm³ cm3 -x4 (9-x) 1 4 -x¹ (9 + x) y 0≤x≤9.1 -9.1 < x < 0 X
Consider the monthly rent (Rent in $) of a home in Ann Arbor, Michigan, as a function of the number of bedrooms (Beds), the number of bathrooms (Baths), and square footage (Sqft). Rent Beds Baths Sqft 645 1 1 500 675 1 1 648 760 1 1 700 800 1 1 903 820 1 1 817 850 2 1 920 855 1 1 900 859 1 1 886 900 1 1.5 1000 905 2 1 920 905 2 1 876 929 2 1 920 960 2 1 975 975 2 2 1100 990 1 1.5 940 995 2 1 1000 1029 2 2 1299 1039 2 2 1164 1049 2 2 1180 1050 2 2 1162 1084 2 2 1163 1100 2 1 1020 1100 2 2 1150 1185 2 2 1225 1245 3 2 1368 1275 2 2 1400 1275 3 2 1350 1400 3 1 1185 1450 2 2 1200 1500 3 2 1412 1518 3 3 1700 1600 3 1 1440 1635 3 3 1460 1635 3 3 1460 1650 3 1.5 1170 1750 3 1.5 1944 1950 4 2.5 2265 1975 3 4 1700 2200 5 4 4319 2400 3 2.5 2700 a. Estimate: Rent = β0 + β1Beds + β2Baths + β3Sqft + ε. (Round your answers to 2 decimal places.) Rent =. ? + ? bed +. ? bath+ ? sqft
Oil imports Crude oil and petroleum products areimported continuously by the United States. Thetable shows the billions of dollars of net expendituresfor the imports of these products for several years.a. Write a linear function that models this data, withx equal to the number of years after 2015 and yequal to the billions of dollars of expenditures.Report the model with two decimal places.b. Is the model an exact fit for the data? c. What does the model predict the billions of dollars of net expenditures will be for the imports in2023?d. When does the model predict the billions of dollars of net expenditures for the imports will be208.2 $billion?

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