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7th Edition

Stefan Waner + 1 other

Publisher: Cengage Learning

ISBN: 9781337274203

Chapter 15.4, Problem 49E

Textbook Problem

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**A linear programming problem in two variables** is a problem of the form: *Maximize* (or *minimize*)

Here, the objective function *f* and the constraints *C* are linear functions. There may be several linear constraints in one problem. Explain why the solution cannot occur in the interior of the domain of *f*.

To determine

Why the solution cannot occur in the interior of domain of

**Given Information:**

A linear programming problem in two variables is a problem of the form: Maximize or minimize

As it is provided that the objective function is a linear function, that means its partial derivative will never vanish and hence, relative or local maximum/minimum will never occur on the inside of domain

Finite Mathematics and Applied Calculus (MindTap Course List)

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Explain why the...Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1-16, compute the given integral....Ch. 15.5 - In Exercises 1724, find Rf(x,y)dxdy, where R is...Ch. 15.5 - In Exercises 1724, find Rf(x,y)dxdy, where R is...Ch. 15.5 - In Exercises 1724, find Rf(x,y)dxdy, where R is...Ch. 15.5 - In Exercises 1724, find Rf(x,y)dxdy, where R is...Ch. 15.5 - In Exercises 1724, find Rf(x,y)dxdy, where R is...Ch. 15.5 - In Exercises 1724, find Rf(x,y)dxdy, where R is...Ch. 15.5 - In Exercises 1724, find Rf(x,y)dxdy, where R is...Ch. 15.5 - In Exercises 1724, find Rf(x,y)dxdy, where R is...Ch. 15.5 - In Exercises 25-30, find the average value of the...Ch. 15.5 - In Exercises 25-30, find the average value of the...Ch. 15.5 - In Exercises 25-30, find the average value of the...Ch. 15.5 - In Exercises 25-30, find the average value of the...Ch. 15.5 - In Exercises 25-30, find the average value of the...Ch. 15.5 - In Exercises 25-30, find the average value of the...Ch. 15.5 - In Exercises 31-36, sketch the region over which...Ch. 15.5 - In Exercises 31-36, sketch the region over which...Ch. 15.5 - In Exercises 31-36, sketch the region over which...Ch. 15.5 - In Exercises 31-36, sketch the region over which...Ch. 15.5 - In Exercises 31-36, sketch the region over which...Ch. 15.5 - In Exercises 31-36, sketch the region over which...Ch. 15.5 - Find the volume under the graph of z=1x2 over the...Ch. 15.5 - Find the volume under the graph of z=1x2 over the...Ch. 15.5 - Find the volume of the tetrahedron shown in the...Ch. 15.5 - Find the volume of the tetrahedron with corners at...Ch. 15.5 - Productivity A productivity model at the Handy...Ch. 15.5 - Productivity Repeat Exercise 41 using the...Ch. 15.5 - Revenue Your latest game app is expected to sell...Ch. 15.5 - Revenue Your latest solid-state drive is expected...Ch. 15.5 - Revenue Your self-published novel has demand...Ch. 15.5 - Revenue Your self-published book of poetry has...Ch. 15.5 - Population Density The town of West Podunk is...Ch. 15.5 - Population Density The town of East Podunk is...Ch. 15.5 - Temperature The temperature at the point (x,y) on...Ch. 15.5 - Temperature The temperature at the point (x,y) on...Ch. 15.5 - Explain how double integrals can be used to...Ch. 15.5 - Explain how double integrals can be used to...Ch. 15.5 - Complete the following: The first step in...Ch. 15.5 - If the units of f(x,y) are zonars per square meter...Ch. 15.5 - If the units of abr(x)s(x)f(x,y)dydx are...Ch. 15.5 - Complete the following: If the region R is bounded...Ch. 15.5 - Show that if a, b, c, and d are constant, then...Ch. 15.5 - Refer to Exercise 57. If a, b, c, and d are...Ch. 15 - Let f(x,y,z)=xy+xz+x2y. Evaluate...Ch. 15 - Let g(x,y,z)=xy(x+yz)+x2. Evaluate...Ch. 15 - Let f(x,y,z)=2.720.32x3.21y+12.5z. Complete the...Ch. 15 - Let g(x,y,z)=2.16x+11y1.53z+31.4. Complete the...Ch. 15 - In Exercises 5 and 6, complete the given table for...Ch. 15 - In Exercises 5 and 6, complete the given table for...Ch. 15 - Give a formula for a (single) function f with the...Ch. 15 - Let f(x,y)=x2+(y+1)2. Show that f(y,x)=f(x+1,y1).Ch. 15 - In Exercises 9-14, sketch the graph of the given...Ch. 15 - In Exercises 9-14, sketch the graph of the given...Ch. 15 - In Exercises 9-14, sketch the graph of the given...Ch. 15 - In Exercises 9-14, sketch the graph of the given...Ch. 15 - In Exercises 9-14, sketch the graph of the given...Ch. 15 - In Exercises 9-14, sketch the graph of the given...Ch. 15 - In Exercises 15-20, compute the partial...Ch. 15 - In Exercises 15-20, compute the partial...Ch. 15 - In Exercises 15-20, compute the partial...Ch. 15 - In Exercises 15-20, compute the partial...Ch. 15 - In Exercises 15-20, compute the partial...Ch. 15 - In Exercises 15-20, compute the partial...Ch. 15 - In Exercises 21-26, locate and classify all...Ch. 15 - In Exercises 21-26, locate and classify all...Ch. 15 - In Exercises 21-26, locate and classify all...Ch. 15 - In Exercises 21-26, locate and classify all...Ch. 15 - In Exercises 21-26, locate and classify all...Ch. 15 - In Exercises 21-26, locate and classify all...Ch. 15 - In Exercises 27-30, solve the given constrained...Ch. 15 - In Exercises 27-30, solve the given constrained...Ch. 15 - In Exercises 27-30, solve the given constrained...Ch. 15 - In Exercises 27-30, solve the given constrained...Ch. 15 - In Exercises 31-34, use Lagrange multipliers to...Ch. 15 - In Exercises 31-34, use Lagrange multipliers to...Ch. 15 - In Exercises 31-34, use Lagrange multipliers to...Ch. 15 - In Exercises 31-34, use Lagrange multipliers to...Ch. 15 - In Exercises 35-40, compute the given quantities....Ch. 15 - In Exercises 35-40, compute the given quantities....Ch. 15 - In Exercises 35-40, compute the given quantities....Ch. 15 - In Exercises 35-40, compute the given quantities....Ch. 15 - In Exercises 35-40, compute the given quantities....Ch. 15 - In Exercises 35-40, compute the given quantities....Ch. 15 - Website Traffic OHaganBooks.com has two principal...Ch. 15 - Productivity Billy-Sean OHagan is writing his PhD...Ch. 15 - Internet Advertising To increase business at...Ch. 15 - Company Retreats Their companies having recently...Ch. 15 - Internet Advertising Refer to the model in...Ch. 15 - Company Retreats Refer to the model in Exercise...Ch. 15 - Productivity The holiday season is now at its...Ch. 15 - Productivity The holiday season has now ended, and...Ch. 15 - Profit If OHaganBooks.com sells x paperback books...Ch. 15 - Cost It costs Duffin House C(x,y)=x2+2y dollars to...

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