Math

CalculusFinite Mathematics and Applied Calculus (MindTap Course List)Housing Costs The cost C of building a house is related to the number k of carpenters used and the number x of electricians used by the formula C = 15 , 000 + 50 k 2 + 60 x 2 . a. Assuming that 10 carpenters are currently being used, find the cost function C , marginal cost function C ' , and average cost function C ¯ , all as functions of x . b. Use the functions you obtained in part (a) to compute C ' ( 15 ) and C ¯ ( 15 ) . Use these two answers to say whether the average cost is increasing or decreasing as the number of electricians increases.BuyFind*arrow_forward*

7th Edition

Stefan Waner + 1 other

Publisher: Cengage Learning

ISBN: 9781337274203

Chapter 11.2, Problem 26E

Textbook Problem

**Housing Costs** The cost *C* of building a house is related to the number *k* of carpenters used and the number *x* of electricians used by the formula

**a.** Assuming that 10 carpenters are currently being used, find the cost function *C*, marginal cost function
*x*.

**b.** Use the functions you obtained in part (a) to compute

and

Finite Mathematics and Applied Calculus (MindTap Course List)

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Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...

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GE Net Income 2009-2013 The annual net income of...Ch. 11.1 - GE Net Income 20072011 The annual net income of...Ch. 11.1 - Ecology Increasing numbers of manatees (sea...Ch. 11.1 - SAT Scores by Income The following graph shown...Ch. 11.1 - Market Share: Smartphones The following graph...Ch. 11.1 - Market Share: Smartphones The following graph...Ch. 11.1 - What instructions would you give to a fellow...Ch. 11.1 - What instructions would you give to a fellow...Ch. 11.1 - Consider f(x)=x2 and g(x)=2x2 =. 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The...Ch. 11.4 - Food versus Education The percentage y (of total...Ch. 11.4 - Food versus Recreation The percentage y (of total...Ch. 11.4 - Marginal Revenue The weekly revenue from the sale...Ch. 11.4 - Marginal Revenue The weekly revenue from the sale...Ch. 11.4 - Crime Statistics The murder rate in large cities...Ch. 11.4 - Crime Statistics Following is a quadratic model...Ch. 11.4 - Existing Home Sales The following graph shows the...Ch. 11.4 - Existing Home Sales Leading to the Financial...Ch. 11.4 - Pollution An offshore oil well is leaking oil and...Ch. 11.4 - Mold A mold culture in a dorm refrigerator is...Ch. 11.4 - Budget Overruns The Pentagon is planning to build...Ch. 11.4 - Soap Bubbles The soap bubble I am blowing has a...Ch. 11.4 - Revenue Growth The demand for the Cyberpunk II...Ch. 11.4 - Information Highway The amount of information...Ch. 11.4 - Money Stock Exercises 97100 are based on the...Ch. 11.4 - Money Stock Exercises 97100 are based on the...Ch. 11.4 - Money Stock Exercises 97100 are based on the...Ch. 11.4 - 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In Exercises 73-78, use lHospitals rule to find...Ch. 11.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 11.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 11.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 11.5 - Research and Development: Industry The total spent...Ch. 11.5 - Research and Development: Federal The total spent...Ch. 11.5 - Research and Development: Industry (Refer to...Ch. 11.5 - Research and Development: Federal (Refer to...Ch. 11.5 - Carbon Dating The age in years of a specimen that...Ch. 11.5 - Iodine Dating The age in years of a specimen that...Ch. 11.5 - New York City Housing Costs: Downtown The average...Ch. 11.5 - New York City Housing Costs: Uptown The average...Ch. 11.5 - Big Brother The following chart shows the total...Ch. 11.5 - Big Brother The following chart shows the total...Ch. 11.5 - Investments If $10,000 is invested in a savings...Ch. 11.5 - Investments If $20,000 is invested in a savings...Ch. 11.5 - Investments If $10,000 is invested in a savings...Ch. 11.5 - Investments If $20,000 is invested in a savings...Ch. 11.5 - The 2003 SARS Outbreak In the early stages of the...Ch. 11.5 - The 2003 SARS Outbreak A few weeks into the deadly...Ch. 11.5 - The 2014 Ebola Outbreak In the first 6 months of...Ch. 11.5 - The 2014 Ebola Outbreak In the first 6 months of...Ch. 11.5 - SAT Scores by Income The following bar graph shows...Ch. 11.5 - SAT Scores by Income The following bar graph shows...Ch. 11.5 - Demographics: Average Age and Fertility The...Ch. 11.5 - Demographics: Average Age and Fertility The...Ch. 11.5 - Epidemics A flu epidemic described in Example 1 in...Ch. 11.5 - Epidemics Another epidemic follows the curve...Ch. 11.5 - Subprime Mortgages during the Housing Bubble...Ch. 11.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 11.5 - Subprime Mortgages during the Housing Bubble...Ch. 11.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 11.5 - Population Growth The population of Lower Anchovia...Ch. 11.5 - Population Growth The population of Upper Anchovia...Ch. 11.5 - Radioactive Decay Plutonium 239 has a half-life of...Ch. 11.5 - Radioactive Decay Carbon 14 has a half-life of...Ch. 11.5 - Cellphone Revenues The number of cellphone...Ch. 11.5 - Cellphone Revenues The annual revenue for...Ch. 11.5 - Complete the following: The derivative of e raised...Ch. 11.5 - Complete the following: The derivative of the...Ch. 11.5 - Complete the following: The derivative of 2 raised...Ch. 11.5 - Complete the following: The derivative of the base...Ch. 11.5 - What is wrong with the following?...Ch. 11.5 - What is wrong with the following? ddx22x=(2)22x X...Ch. 11.5 - What is wrong with the following? ddx32x=(2x)32x1...Ch. 11.5 - What is wrong with the following? ddxln(3x21)=16x...Ch. 11.5 - The number N of music downloads on campus is...Ch. 11.5 - The number N of graphing calculators sold on...Ch. 11.5 - Show that the fractional rate of change of the...Ch. 11.5 - Show that the fractional rate of change of f(x) is...Ch. 11.5 - Let A(t) representa quantity growing...Ch. 11.5 - 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In Exercises 43-52, use logarithmic...Ch. 11.6 - In Exercises 43-52, use logarithmic...Ch. 11.6 - Productivity The number of CDs per hour that...Ch. 11.6 - Productivity The number of cellphone accessory...Ch. 11.6 - Demand The demand equation for soccer tournament...Ch. 11.6 - Cost Equations The cost C (in cents) of producing...Ch. 11.6 - Housing Costs61 The cost C (in dollars) of...Ch. 11.6 - Employment An employment research company...Ch. 11.6 - Grades62 A productivity formula for a students...Ch. 11.6 - Grades Repeat Exercise 59 using the following...Ch. 11.6 - Exercises 61 and 62 are based on the following...Ch. 11.6 - Exercises 61 and 62 are based on the following...Ch. 11.6 - Fill in the missing terms: The equation x=y3+y3...Ch. 11.6 - Fill in the missing terms: When x0 in the equation...Ch. 11.6 - Use logarithmic differentiation to give another...Ch. 11.6 - Use logarithmic differentiation to give a proof of...Ch. 11.6 - If y is given explicitly as a function of x by an...Ch. 11.6 - Explain why one should not expect dy/dx tobe a...Ch. 11.6 - If y is a function of x and dy/dx0 atsome point,...Ch. 11.6 - If you are given an equation in x and y such that...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - 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In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - In Exercises 53-56, find the limit: limx+x2ex2Ch. 11 - In Exercises 53-56, find the limit: limxxexCh. 11 - In Exercises 53-56, find the limit: limx0x2ex21Ch. 11 - In Exercises 53-56, find the limit:...Ch. 11 - Sales OHaganBooks.com fits the cubic curve...Ch. 11 - Rising Sea Level Marjory Duffin is still toying...Ch. 11 - Cost As OHaganBooks.coms sales increase, so do its...Ch. 11 - Cost OHaganBooks.com has been experiencing a run...Ch. 11 - Revenue At the moment, OHaganBooks.com is selling...Ch. 11 - Revenue Because of ongoing problems with its large...Ch. 11 - Percentage Rate of Change of Revenue The...Ch. 11 - P/E Ratios At the beginning of last week,...Ch. 11 - P/E Ratios Refer to Exercise 64. Jay Campbell, who...Ch. 11 - Percentage Rate of Change of P/E Ratios Refer to...Ch. 11 - Sales OHaganBooks.com decided that the cubic curve...Ch. 11 - Rising Sea Level Upon some reflection, Marjory...Ch. 11 - Website Activity The number of hits on...Ch. 11 - Website Activity The number of hits on...Ch. 11 - Demand and Revenue The price p that...Ch. 11 - Demand and Revenue The price p that...Ch. 11 - Find limt+N(t) forboth models, and interpret the...

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